Simplify (h-6)(5h-6)

$(h - 6) (5 h - 6)$

Step 1

Expand $(h - 6) (5 h - 6)$ using the FOIL Method.

Apply the distributive property.

$h (5 h - 6) - 6 (5 h - 6)$

Apply the distributive property.

$h (5 h) + h \cdot - 6 - 6 (5 h - 6)$

Apply the distributive property.

$h (5 h) + h \cdot - 6 - 6 (5 h) - 6 \cdot - 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 h \cdot h + h \cdot - 6 - 6 (5 h) - 6 \cdot - 6$

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

Move $h$ .

$5 (h \cdot h) + h \cdot - 6 - 6 (5 h) - 6 \cdot - 6$

Multiply $h$ by $h$ .

$5 h^{2} + h \cdot - 6 - 6 (5 h) - 6 \cdot - 6$

Move $- 6$ to the left of $h$ .

$5 h^{2} - 6 \cdot h - 6 (5 h) - 6 \cdot - 6$

Multiply $5$ by $- 6$ .

$5 h^{2} - 6 h - 30 h - 6 \cdot - 6$

Multiply $- 6$ by $- 6$ .

$5 h^{2} - 6 h - 30 h + 36$

Subtract $30 h$ from $- 6 h$ .

$5 h^{2} - 36 h + 36$