Simplify (-6x-1)(4x^2)

$(- 6 x - 1) (4 x^{2})$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$- 6 x (4 x^{2}) - 1 (4 x^{2})$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$- 6 \cdot 4 x \cdot x^{2} - 1 (4 x^{2})$

Multiply $4$ by $- 1$ .

$- 6 \cdot 4 x \cdot x^{2} - 4 x^{2}$

Step 2

Simplify each term.

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

Move $x^{2}$ .

$- 6 \cdot 4 (x^{2} x) - 4 x^{2}$

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

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

$- 6 \cdot 4 (x^{2} x^{1}) - 4 x^{2}$

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

$- 6 \cdot 4 x^{2 + 1} - 4 x^{2}$

Add $2$ and $1$ .

$- 6 \cdot 4 x^{3} - 4 x^{2}$

Multiply $- 6$ by $4$ .

$- 24 x^{3} - 4 x^{2}$