Question

Which expression is equivalent to (x+4)^2-(x+4)

Answer 1

`(x+4)^2-(x+4)`

start by expanding the exponent using the rule

`(a+b)^2=a^2+2ab+b^2`

apply on the expression

`\begin{gathered} (x+4)^2=x^2+2\cdot4\cdot x+4^2 \\ (x+4)^2=x^2+8x+16 \end{gathered}`

bring to the first expression and simplify

`\begin{gathered} x^2+8x+16-(x+4) \\ x^2+8x+16-x-4 \\ x^2+7x+12 \end{gathered}`