Factor (4x+4)(x+1)

$(4 x + 4) (x + 1)$

Step 1

Factor $4$ out of $4 x + 4$ .

Factor $4$ out of $4 x$ .

$(4 (x) + 4) (x + 1)$

Factor $4$ out of $4$ .

$(4 (x) + 4 (1)) (x + 1)$

Factor $4$ out of $4 (x) + 4 (1)$ .

$4 (x + 1) (x + 1)$

Step 2

Combine exponents.

Raise $x + 1$ to the power of $1$ .

$4 ({(x + 1)}^{1} (x + 1))$

Raise $x + 1$ to the power of $1$ .

$4 ({(x + 1)}^{1} {(x + 1)}^{1})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4 {(x + 1)}^{1 + 1}$

Add $1$ and $1$ .

$4 {(x + 1)}^{2}$