Simplify (3h-5)(5h+4)

$(3 h - 5) (5 h + 4)$

Step 1

Expand $(3 h - 5) (5 h + 4)$ using the FOIL Method.

Apply the distributive property.

$3 h (5 h + 4) - 5 (5 h + 4)$

Apply the distributive property.

$3 h (5 h) + 3 h \cdot 4 - 5 (5 h + 4)$

Apply the distributive property.

$3 h (5 h) + 3 h \cdot 4 - 5 (5 h) - 5 \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot 5 h \cdot h + 3 h \cdot 4 - 5 (5 h) - 5 \cdot 4$

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

Move $h$ .

$3 \cdot 5 (h \cdot h) + 3 h \cdot 4 - 5 (5 h) - 5 \cdot 4$

Multiply $h$ by $h$ .

$3 \cdot 5 h^{2} + 3 h \cdot 4 - 5 (5 h) - 5 \cdot 4$

Multiply $3$ by $5$ .

$15 h^{2} + 3 h \cdot 4 - 5 (5 h) - 5 \cdot 4$

Multiply $4$ by $3$ .

$15 h^{2} + 12 h - 5 (5 h) - 5 \cdot 4$

Multiply $5$ by $- 5$ .

$15 h^{2} + 12 h - 25 h - 5 \cdot 4$

Multiply $- 5$ by $4$ .

$15 h^{2} + 12 h - 25 h - 20$

Subtract $25 h$ from $12 h$ .

$15 h^{2} - 13 h - 20$