Simplify (5h+2)(3h-3)

$(5 h + 2) (3 h - 3)$

Step 1

Expand $(5 h + 2) (3 h - 3)$ using the FOIL Method.

Apply the distributive property.

$5 h (3 h - 3) + 2 (3 h - 3)$

Apply the distributive property.

$5 h (3 h) + 5 h \cdot - 3 + 2 (3 h - 3)$

Apply the distributive property.

$5 h (3 h) + 5 h \cdot - 3 + 2 (3 h) + 2 \cdot - 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 \cdot 3 h \cdot h + 5 h \cdot - 3 + 2 (3 h) + 2 \cdot - 3$

Multiply $h$ by $h$ by adding the exponents.

Move $h$ .

$5 \cdot 3 (h \cdot h) + 5 h \cdot - 3 + 2 (3 h) + 2 \cdot - 3$

Multiply $h$ by $h$ .

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

Multiply $5$ by $3$ .

$15 h^{2} + 5 h \cdot - 3 + 2 (3 h) + 2 \cdot - 3$

Multiply $- 3$ by $5$ .

$15 h^{2} - 15 h + 2 (3 h) + 2 \cdot - 3$

Multiply $3$ by $2$ .

$15 h^{2} - 15 h + 6 h + 2 \cdot - 3$

Multiply $2$ by $- 3$ .

$15 h^{2} - 15 h + 6 h - 6$

Add $- 15 h$ and $6 h$ .

$15 h^{2} - 9 h - 6$