Factorise the following.​

Factorise The Following.

Answers

Answer 1

Answer:

ii. [tex](a^{2} +b^{2} +2bc+c^{2} )(a+b+c)(a-b-c)[/tex]

v. [tex](x^{2} -y^{2} )^{2}[/tex]

Step-by-step explanation:

ii. [tex]a^{4} -(b+c)^{4}[/tex]

[tex]=(a^{2} )^{2} -((b+c)^{2} )^{2}[/tex] (Rewrite using Exponent Rules)

[tex]=(a^{2} +(b+c)^{2} )(a^{2} -(b+c)^{2} )[/tex] (Difference of Squares)

[tex]=(a^{2} +b^{2} +2bc+c^{2} )(a+(b+c))(a-(b+c))[/tex] (Expand the terms in the first parentheses, use the difference of squares again to further factor the terms in the second parentheses)

[tex]=(a^{2} +b^{2} +2bc+c^{2} )(a+b+c)(a-b-c)[/tex] (Simplify)

v. [tex]x^{4} -2x^{2} y^{2} +y^{4}[/tex]

[tex]=(x^{2})^{2} -2x^{2} y^{2} +(y^{2} )^{2}[/tex] (Rewrite using Exponent Rules, notice that this is now a perfect square trinomial)

[tex]=(x^{2} -y^{2} )^{2}[/tex] (Factor using perfect square trinomial formula)

Hope this helps!


Related Questions

How many years ago was 33 ce?

Answers

Answer:

1988 years ago

Step-by-step explanation:

2021 - 33 =

1988

Hope that helps!

At a baseball game, 87% of people attending were supporting the home team, while
13% were supporting the visiting team. If the total number of people attending the
game was 4400, how many people attending were supporters of the home team?

Answers

Answer:

3828 people

Step-by-step explanation:

A cube numbered from 1 through 6 is rolled 300 times. The number 6 lands face-upon the cube 32 times. What is the closest estimate for the experimental probability of 6 landing face-up on the cube?
A: 0.087
B: 0.107
C: 0.127
D: 0.188

Answers

Answer:

Step-by-step explanation:

Experimental probability is the number of a certain outcome divided by the number of trials, in this case

32/300

0.10666... rounded to nearest thousandth this is

0.107

Answer:

B

Step-by-step explanation:

Zaiyara had a long strip of ribbon for making crafts. The strip of ribbon had a length of 12.21 inches. Zaiyara needed to cut it into 3 equal pieces. How long would each piece be?
A:9.21 inches
B:6.02 inches
C:15.21 inches
D:4.07 inches
Plss need the answer will mark brain least if correct!

Answers

Answer:

D

Step-by-step explanation:

True or false the absolute value of -7 is greater than the absolute value of -3
ture or false?​

Answers

Answer:

False

Step-by-step explanation:

Since its a bigger number in the negative, it means it further from zero which makes it false

can someone help me with this? all of the info is in the pic

Answers

Answer:

there is no pic -_-

Step-by-step explanation:

Question 5
Marci sells tickets at the swimming pool. The first day, she sold 50 tickets. She keeps records of tickets sold each day. The table below shows her records for the first day.
Marci's Ticket Results
Ticket Type
Number of
Tickets Sold
Child, Male
18
Child, Female 15
Adult, Male
Adult, Female
12
5
Based on the information in the table, which is the most reasonable prediction of the number of adult, female tickets Marci will sell out of the next 100 ticket sales?
A 12
B
6
с
24
D
50

Answers

Answer:

c

Step-by-step explanation:

What's is another name for m? Y = mx

Answers

Step-by-step explanation:

it's slope intercept form

Answer:

slope (I think)

Step-by-step explanation:

Casey can do 4 math problems in 13 minutes. How many can he do in 7 minutes?​

Answers

Answer:

2.15384615385

Step-by-step explanation:

Values from least to greatest.075, .75%, 3/4

Answers

The values least to greatest is in the following order. .075, 3/4, .75%

Answer:

.75%, .075, 3/4

Step-by-step explanation:

0.75%= 0.0075

0.075=0.075

3/4=.75

A 3D shape is shown below.
Select the matching net or nets from the options given.

Answers

What are the answers choices?

1. What is the probability of rondomly selecting an odd number from the numbers 1 - 15?​

Answers

Answer:

If the probability to choosing an odd number is 1, then the complement (the probability of choosing an even number is 0). However there are the same number of odd numbers and even numbers, therefore we can use the same proof to show that the probability choosing an even number is 1 leading to a contradiction.

Step-by-step explanation:

Hope it helps You

Please someone help me

Answers

Answer:

B) 1/9

Step-by-step explanation:

There are nine squares.  One of them has double pepperoni (PP).

1/9

The answer is B. Correct me if i’m wrong.

allan's car uses 1 liter of fuel to travel 12 km , how much fuel does she need to travel 420km​

Answers

Answer:

Allan needs 35 liters to travel 420km

Answer:

The answer should be: 35 liters of fuel

Step-by-step explanation:

Find the area and perimeter of a rectangle with a length of 12
inches and a width of 15 inches.

Answers

b. 54 inches and 180 inches

The inverse of G(x) is a function.
A. True
. B. False

Answers

Answer:

The answer of this question is FALSE.

It’s Totally false lol

A farmer is designing a field for his new horse. In order for the field to fit into his farm, the angle θ must be less than 40◦, calculate the size of the angle, with a suitable level of accuracy, and justify if the field will fit or not.

Answers

Answer:

The field will not fit

Step-by-step explanation:

To find the angle, we will use cosine rule;

c² = (a² + b² - 2abcosC)

C in this case is θ

Thus;

15² = (8² + 20² - 2(8 × 20)cos θ)

225 = (64 + 400 - 320cos θ)

464 - 225 = 320cos θ

cos θ = 239/320

θ = cos^(-1) 0.7469

θ = 41.68°

Thus angle is not less than 40° as recommended. Thus, the field will not fit.

solve 9x – 8 = 6x + 4

Answers

Answer:

Step-by-step explanation:

9x - 8 = 6x + 4

3x - 8 = 4

3x = 12

x = 4

Answer:

9x - 6x = 4 + 8

3x = 12

x = 12÷ 3

x = 4

Step-by-step explanation:

restamos las variables, verificamos que 9x es mayor que 6x por lo cual lo trasladamos al lado del 9x. Lo cual sería 9x menos 6x , por el lado del menos ocho y el cuatro, al menos ocho lo volvemos positivo lo cual da 4 más 8. y así

9x - 6x = 4 + 8

3x = 12

x = 12÷ 3

x = 4

Which figure has been packed with unit cubes correctly without gaps or overlaps?

a rectangular prism partially filled with unit cubes
a rectangular prism completely filled with unit cubes
a rectangular prism partially filled with unit cubes
a rectangular prism partially filled with unit cubes

Answers

Answer:

Second option: a rectangular prism completely filled with unit cubes

Step-by-step explanation:

If the rectangular prism is completely filled then there are 1) no gaps, 2) no overlaps. It's compact and complete.

Find the range given the Domain of {0,1,2,3,4} for the function f(x)=x2 - 4x + 3​

Answers

Answer:

x

R

y

1

Step-by-step explanation:

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

see graph below for reference

Solve for x.
2/x = 6/2

Answers

The answer is x=2/3!! Hope this helped

Answer:

X = 2/3

Hope this helps :D

Lynn had 90 flyers to hang up around school she gave 12 flyers to each of three volunteers then she took the remaining flyers and divided them up equally among the three volunteers

Answers

Answer:

What's the question? If it's how much do each have each of the volunteers have 33 flyers.

What is 5/9=14c-5/12

Answers

Answer:

c=5/72

Step-by-step explanation:

5/9=14c-5/12

Switch sides

14c-5/12=5/9

Add 5/12 tp both sides

14c-5/12+5/12=5/9+5/12

Simplify;

14c-5/12+5/12

=14c

Simplify;

5/9+5/12

LCM of 9, 12;

36

The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.

Prime factorization of 9;

3*3

Prime factorization of 12;

2*6

=2*2*3

=3*3*2*2

=36

5/9=5*4/9*4=20/36

5/12=5*3/12*3=15/36

=20/36+15/36

20+15/36

=35/36

14c=35/36

14c/14=35/36/14

14c/14=c

35/36*14

=35/504

=5/72

Answer c=5/72

Answer to the following question is as follows;

Value of C = 5 / 72

Step-by-step explanation:

Given:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

Find:

Value of C

Computation:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

By taking 5/12 to LHS Side

[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]

By taking LCM;

[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]

[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]

[tex]\frac{35}{36} = 14c\\\\[/tex]

By transfer 14 to LHS side

[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]

[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]

[tex]\frac{5}{72} = c\\\\[/tex]

Value of C = 5 / 72

Learn more;

https://brainly.com/question/21481562?referrer=searchResults

What is the first step to solve this equation: 11 - 3x = 44

Answers

Answer:

take 11 to rhs

-3x = 44 - 11

-x = 33/3

-x = 11

x = -11

Answer: Subtract 11 on both sides

Step-by-step explanation:

11 - 3x = 44

-11        -11

-3x = 33

Divide by -3 on each side

x=-11

There's all of the steps, I know you didn't ask. I hope I helped!

help with math thanks so much will give brainlyist

Answers

Answer:

ok what is it

Step-by-step explanation:

3a+b=225 b=a-15 first step

Answers

Answer:

60 = a

Step-by-step explanation:

I attached a pic of how I got 60 = a

When dealing with word problems and linear equations, what does the y-intercept represent and how is the slope defined?
a.
y-intercept represents the final value, slope is increasing
c.
y-intercept represents the starting value, slope is the rate of change
b.
y-intercept represents the final value, slope is decreasing
d.
y-intercept represents the starting value, slope is decreasing


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

C

Step-by-step explanation:

y-intercept represents the starting value, slope is the rate of change

slope is rise/run

Answer:

C is correct! :D

Step-by-step explanation:

Edge nuity 2021

what the greatest common factor of 24 and 16? And why

Answers

Answer:

8. (Refer to explanation)

Step-by-step explanation:

Factors of 16 and 24:

16:

1 x 16

2 x 8

4 x 4

Factors of 16 are 1, 2, 4, 8 and 16

24:

1 x 24

2 x 12

3 x 8

4 x 6

Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

How to find common factor?

To find the common factor, you need to list out the factors and if a factor which is the same number appears from both 16 and 24, it is known as a common factor.

Common factors of 16 and 24 are 1, 2, 4, 8. Since greatest common factor is the number which is a common factor but is the biggest number, the answer is 8.

Find the value of x.
please explain how you got it :)

Answers

Answer:

x=65°

Step-by-step explanation:

Next to x would be 70. (180-110=70).

Since this is an equilateral triangle, the other angle is also 70.

180-70-70=40, so the third angle is 40.

Since this is a right angle, the other angle is 50 (90-40=50).

Since that is 50, and this is an equilateral triangle, the other two angles have to be the same.

180-50=130

130÷2=65

From her home, Giera traveled
5.8 miles north to the grocery
store, then 2.1 miles west to
the library. What is the distance
from her home to the library?

Answers

Answer:

6.2 miles

Step-by-step explanation:

The imaginary lines connecting the home, the grocery store and the library form a right triangle with the distance from the home to the library being a hypotenuse.

Use Pythagorean to find the distance:

√5.8² + 2.1² = √38.05 = 6.16 ≈ 6.2 miles
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