Simplify (5h-3)(3h+7)

$(5 h - 3) (3 h + 7)$

Step 1

Expand $(5 h - 3) (3 h + 7)$ using the FOIL Method.

Apply the distributive property.

$5 h (3 h + 7) - 3 (3 h + 7)$

Apply the distributive property.

$5 h (3 h) + 5 h \cdot 7 - 3 (3 h + 7)$

Apply the distributive property.

$5 h (3 h) + 5 h \cdot 7 - 3 (3 h) - 3 \cdot 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 \cdot 3 h \cdot h + 5 h \cdot 7 - 3 (3 h) - 3 \cdot 7$

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

Move $h$ .

$5 \cdot 3 (h \cdot h) + 5 h \cdot 7 - 3 (3 h) - 3 \cdot 7$

Multiply $h$ by $h$ .

$5 \cdot 3 h^{2} + 5 h \cdot 7 - 3 (3 h) - 3 \cdot 7$

Multiply $5$ by $3$ .

$15 h^{2} + 5 h \cdot 7 - 3 (3 h) - 3 \cdot 7$

Multiply $7$ by $5$ .

$15 h^{2} + 35 h - 3 (3 h) - 3 \cdot 7$

Multiply $3$ by $- 3$ .

$15 h^{2} + 35 h - 9 h - 3 \cdot 7$

Multiply $- 3$ by $7$ .

$15 h^{2} + 35 h - 9 h - 21$

Subtract $9 h$ from $35 h$ .

$15 h^{2} + 26 h - 21$