Algebra Examples

$4 x^{3} y^{6} + {(x y^{2})}^{3}$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $x y^{2}$ .

$4 x^{3} y^{6} + x^{3} {(y^{2})}^{3}$

Step 1.2

Multiply the exponents in ${(y^{2})}^{3}$ .

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Step 1.2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$4 x^{3} y^{6} + x^{3} y^{2 \cdot 3}$

Step 1.2.2

Multiply $2$ by $3$ .

$4 x^{3} y^{6} + x^{3} y^{6}$

Step 2

Add $4 x^{3} y^{6}$ and $x^{3} y^{6}$ .

$5 x^{3} y^{6}$