Algebra Examples

$(x^{2} + x) (x^{2})$

Step 1

Apply the distributive property.

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Add $2$ and $2$ .

$x^{4} + x \cdot x^{2}$

Step 3

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

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Step 3.1

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

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Step 3.1.1

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

$x^{4} + x^{1} x^{2}$

Step 3.1.2

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

$x^{4} + x^{1 + 2}$

Step 3.2

Add $1$ and $2$ .

$x^{4} + x^{3}$