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2 years ago

Can someone please help me with this expanding brackets problem ? Quick ! I will give 20 points :)

Mathematics

1 answer:

eimsori [14]2 years ago

7 0

Step-by-step explanation:

$(x + 1)(x - 6)(x + 7)$

${x}^{2} - 6x + x - 6(x + 7)$

${x}^{3} + 7x - 6 {x}^{2} - 42x + {x}^{2} + 7x - 42$

${x}^{3} - 5x {}^{2} - 35x - 42$

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HELP HELP HELP<br> HELP HELP <br> HELP <br> (STEP BY STEP)

Marizza181 [45]

With some simple rearrangement, we can rewrite the numerator as

$2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1$

Then factorizing the difference of squares, $x^2-1=(x-1)(x+1)$ , we end up with

$\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}$

3 0

1 year ago

I have 1/3 of a pie. You have 1/3 of a pie. Add the pieces of pie together. How much pie do we have?

aliya0001 [1]

Answer:

2/3

Step-by-step explanation:

To add fractions add the numbers on top to each other and leave the bottom numbers alone if they are the same number.

$\frac{1}{3}+\frac{1}{3}=\frac{1+1}{3}=\frac{2}{3}$

8 0

1 year ago

the ratio of boys to girls at the beach clean up was 7:8 if there are 42 boys how many girls are there

Len [333]

48 girls are there. Given that there is a ratio of boys to girls of 7:8. Then divide 42 boys by 7 boys which equals 6. After, multiply 6 by 8 girls equals 48 girls.

4 0

2 years ago

Can you solve this????? Super hard!

pav-90 [236]

The answer is J. 1/(x^2-x)

5 0

2 years ago

Read 2 more answers

Find the answer to each trigonometric function below.

Airida [17]

Answer:

Sin A = $\frac{opposite}{hypotenuse} =\frac{32}{40} =\frac{4(8)}{5(8)} =\frac{4}{5}$
Cos C = $\frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{2(8)}{2(17)} =\frac{8}{17}$
Tan A = $\frac{opposite}{adjacent} =\frac{21}{20}$

8 0

2 years ago