Find the Product 2h(-7h^2-4h)

$2 h (- 7 h^{2} - 4 h)$

Simplify by multiplying through.

Apply the distributive property.

$2 h (- 7 h^{2}) + 2 h (- 4 h)$

Reorder.

Rewrite using the commutative property of multiplication.

$2 \cdot - 7 h \cdot h^{2} + 2 h (- 4 h)$

Rewrite using the commutative property of multiplication.

$2 \cdot - 7 h \cdot h^{2} + 2 \cdot - 4 h \cdot h$

Simplify each term.

Multiply $h$ by $h^{2}$ by adding the exponents.

Move $h^{2}$ .

$2 \cdot - 7 (h^{2} h) + 2 \cdot - 4 h \cdot h$

Multiply $h^{2}$ by $h$ .

Raise $h$ to the power of $1$ .

$2 \cdot - 7 (h^{2} h^{1}) + 2 \cdot - 4 h \cdot h$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 \cdot - 7 h^{2 + 1} + 2 \cdot - 4 h \cdot h$

Add $2$ and $1$ .

$2 \cdot - 7 h^{3} + 2 \cdot - 4 h \cdot h$

Multiply $2$ by $- 7$ .

$- 14 h^{3} + 2 \cdot - 4 h \cdot h$

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

Move $h$ .

$- 14 h^{3} + 2 \cdot - 4 (h \cdot h)$

Multiply $h$ by $h$ .

$- 14 h^{3} + 2 \cdot - 4 h^{2}$

Multiply $2$ by $- 4$ .

$- 14 h^{3} - 8 h^{2}$