Which expression is equivalent to (2x + 9)² - (x-7)?

Question

asked Sep 6, 2023 216k views

1 Answer

Gasolin · Answer 1 · 2023-09-10T01:02:11+0000

Answer:

$\boxed{\bf B. \: 4 {x}^(2) + 35x+88}$

Step-by-step explanation:

In order to find what expression is equivalent to (2x + 9)² - (x-7), we'll use the binomial theorem (a+b)^2 =a^2+2ab+b^2 to expand (2x+9).

$\bf 4 {x}^(2) +36x+81 - (x - 7)$

$\bf 4 {x}^(2) +36x+81 - x+7$

Let's combine like terms. 36x + (-x) = 35x

$\bf 4 {x}^(2) + 35x+81+7$

Add numbers. 81 + 7 = 88

$\bf 4 {x}^(2) + 35x+88$

Therefore, our answer is Option B.

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