Algebra Examples

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

Step 1

Rewrite using the commutative property of multiplication.

$- 1 \cdot - 1 x \cdot x^{2}$

Step 2

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

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Step 2.1

Move $x^{2}$ .

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

Step 2.2

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

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Step 2.2.1

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

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

Step 2.2.2

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

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

Step 2.3

Add $2$ and $1$ .

$- 1 \cdot - 1 x^{3}$

Step 3

Multiply $- 1$ by $- 1$ .

$1 x^{3}$

Step 4

Multiply $x^{3}$ by $1$ .

$x^{3}$