Algebra Examples

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

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify the expression.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

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

Step 1.2.2

Multiply $4$ by $- 1$ .

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

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $x^{2}$ .

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

Step 2.1.2

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

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Step 2.1.2.1

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

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

Step 2.1.2.2

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

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

Step 2.1.3

Add $2$ and $1$ .

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

Step 2.2

Multiply $- 6$ by $4$ .

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