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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $h$ .

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

Multiply $h$ by $h$ .

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

Multiply $5$ by $5$ .

$25 h^{2} + 5 h \cdot - 6 - 5 (5 h) - 5 \cdot - 6$

Multiply $- 6$ by $5$ .

$25 h^{2} - 30 h - 5 (5 h) - 5 \cdot - 6$

Multiply $5$ by $- 5$ .

$25 h^{2} - 30 h - 25 h - 5 \cdot - 6$

Multiply $- 5$ by $- 6$ .

$25 h^{2} - 30 h - 25 h + 30$

Subtract $25 h$ from $- 30 h$ .

$25 h^{2} - 55 h + 30$