Question

Expand: (x + 7) (x + 1 )

Answer 1

From the question

We are to expand the expression

$(x+7)(x+1)$

This is done as follows

$(x+7)(x+1)=x(x+1)+7(x+1)$

By expanding further we have

$\begin{gathered} (x+7)(x+1) \\ =x\mleft(x+1\mright)+7\mleft(x+1\mright) \\ =x^2+x+7x+7 \\ =x^2+8x+7 \end{gathered}$

Therefore the answer is

$x^2+8x+7$