Factor b(a+1)^2-5*(a+1)

$b {(a + 1)}^{2} - 5 \cdot (a + 1)$

Factor $a + 1$ out of $b {(a + 1)}^{2} - 5 \cdot (a + 1)$ .

Factor $a + 1$ out of $b {(a + 1)}^{2}$ .

$(a + 1) (b (a + 1)) - 5 \cdot (a + 1)$

Factor $a + 1$ out of $- 5 \cdot (a + 1)$ .

$(a + 1) (b (a + 1)) + (a + 1) \cdot - 5$

Factor $a + 1$ out of $(a + 1) (b (a + 1)) + (a + 1) \cdot - 5$ .

$(a + 1) (b (a + 1) - 5)$

Apply the distributive property.

$(a + 1) (b a + b \cdot 1 - 5)$

Multiply $b$ by $1$ .

$(a + 1) (b a + b - 5)$