Factor 5*(a+3)^2-(a+3)

$5 \cdot {(a + 3)}^{2} - (a + 3)$

Step 1

Factor $a + 3$ out of $5 \cdot {(a + 3)}^{2} - (a + 3)$ .

Factor $a + 3$ out of $5 \cdot {(a + 3)}^{2}$ .

$(a + 3) (5 \cdot (a + 3)) - (a + 3)$

Factor $a + 3$ out of $- (a + 3)$ .

$(a + 3) (5 \cdot (a + 3)) + (a + 3) \cdot - 1$

Factor $a + 3$ out of $(a + 3) (5 \cdot (a + 3)) + (a + 3) \cdot - 1$ .

$(a + 3) (5 \cdot (a + 3) - 1)$

$(a + 3) (5 (a + 3) - 1)$

Step 2

Apply the distributive property.

$(a + 3) (5 a + 5 \cdot 3 - 1)$

Step 3

Multiply $5$ by $3$ .

$(a + 3) (5 a + 15 - 1)$

Step 4

Subtract $1$ from $15$ .

$(a + 3) (5 a + 14)$