Expand the Trigonometric Expression (9h+3)(-h-1)

$(9 h + 3) (- h - 1)$

Step 1

Expand $(9 h + 3) (- h - 1)$ using the FOIL Method.

Apply the distributive property.

$9 h (- h - 1) + 3 (- h - 1)$

Apply the distributive property.

$9 h (- h) + 9 h \cdot - 1 + 3 (- h - 1)$

Apply the distributive property.

$9 h (- h) + 9 h \cdot - 1 + 3 (- h) + 3 \cdot - 1$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$9 \cdot - 1 h \cdot h + 9 h \cdot - 1 + 3 (- h) + 3 \cdot - 1$

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

Move $h$ .

$9 \cdot - 1 (h \cdot h) + 9 h \cdot - 1 + 3 (- h) + 3 \cdot - 1$

Multiply $h$ by $h$ .

$9 \cdot - 1 h^{2} + 9 h \cdot - 1 + 3 (- h) + 3 \cdot - 1$

Multiply $9$ by $- 1$ .

$- 9 h^{2} + 9 h \cdot - 1 + 3 (- h) + 3 \cdot - 1$

Multiply $- 1$ by $9$ .

$- 9 h^{2} - 9 h + 3 (- h) + 3 \cdot - 1$

Multiply $- 1$ by $3$ .

$- 9 h^{2} - 9 h - 3 h + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$- 9 h^{2} - 9 h - 3 h - 3$

Subtract $3 h$ from $- 9 h$ .

$- 9 h^{2} - 12 h - 3$