Algebra Examples

$a (a^{2} b + b^{3} c)$

Step 1

Apply the distributive property.

$a (a^{2} b) + a (b^{3} c)$

Step 2

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

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Step 2.1

Move $a^{2}$ .

$a^{2} a b + a (b^{3} c)$

Step 2.2

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

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Step 2.2.1

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

$a^{2} a^{1} b + a (b^{3} c)$

Step 2.2.2

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

$a^{2 + 1} b + a (b^{3} c)$

Step 2.3

Add $2$ and $1$ .

$a^{3} b + a (b^{3} c)$

$a^{3} b + a b^{3} c$