Algebra Examples

$g (x) = x^{2} + 2$ $h (x) = x^{3}$

Step 1

Replace the function designators with the actual functions in $g (x) \cdot (h (x))$ .

$(x^{2} + 2) \cdot (x^{3})$

Step 2

Simplify.

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Step 2.1

Apply the distributive property.

$x^{2} x^{3} + 2 x^{3}$

Step 2.2

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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Step 2.2.1

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

$x^{2 + 3} + 2 x^{3}$

Step 2.2.2

Add $2$ and $3$ .

$x^{5} + 2 x^{3}$