Algebra Examples

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

Step 1

Apply the distributive property.

$(a b \cdot b^{2} + c b^{2}) a$

Step 2

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

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Step 2.1

Move $b^{2}$ .

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

Step 2.2

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

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Step 2.2.1

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

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

Step 2.2.2

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

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

Step 2.3

Add $2$ and $1$ .

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

Step 3

Apply the distributive property.

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

Step 4

Multiply $a$ by $a$ by adding the exponents.

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Step 4.1

Move $a$ .

$a \cdot a b^{3} + c b^{2} a$

Step 4.2

Multiply $a$ by $a$ .

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