Algebra Examples

$x (- x^{2} - 5)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$x (- x^{2}) + x \cdot - 5$

Step 1.2

Reorder.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$- x \cdot x^{2} + x \cdot - 5$

Step 1.2.2

Move $- 5$ to the left of $x$ .

$- x \cdot x^{2} - 5 \cdot x$

Step 2

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

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Step 2.1

Move $x^{2}$ .

$- (x^{2} x) - 5 \cdot x$

Step 2.2

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

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Step 2.2.1

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

$- (x^{2} x^{1}) - 5 \cdot x$

Step 2.2.2

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

$- x^{2 + 1} - 5 \cdot x$

Step 2.3

Add $2$ and $1$ .

$- x^{3} - 5 \cdot x$

$- x^{3} - 5 x$