Question

Which expression is equivalent to (3x + 8)^2 – (x – 7)?A. 9x ^2 + 47x + 57B. 9x ^2 + 47x + 71C. 9x ^2 - x + 57D. 9x^2 - x + 71

Answer 1

The given expression is

`(3x+8)^2-(x-7)`

This is simplified as

`\begin{gathered} 9x^2+48x+64-x+7 \\ =9x^2+48x-x+64+7 \\ =9x^2+47x+71 \end{gathered}`

Therefore the given expression is equivalent to