Question

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

Answer 1

`\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.

«•••••••••«••»•••••••••••»