Answer:
[tex]\boxed{\bf B. \: 4 {x}^{2} + 35x+88}[/tex]
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).
[tex]\bf 4 {x}^{2} +36x+81 - (x - 7)[/tex]
[tex]\bf 4 {x}^{2} +36x+81 - x+7[/tex]
Let's combine like terms. 36x + (-x) = 35x
[tex]\bf 4 {x}^{2} + 35x+81+7[/tex]
Add numbers. 81 + 7 = 88
[tex]\bf 4 {x}^{2} + 35x+88[/tex]
Therefore, our answer is Option B.
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