Algebra Examples

$4 b^{2} (b^{3} - 8)$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

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

Step 2

Apply the distributive property.

$4 b^{2} b^{3} + 4 b^{2} \cdot - 8$

Step 3

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

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Step 3.1

Move $b^{3}$ .

$4 (b^{3} b^{2}) + 4 b^{2} \cdot - 8$

Step 3.2

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

$4 b^{3 + 2} + 4 b^{2} \cdot - 8$

Step 3.3

Add $3$ and $2$ .

$4 b^{5} + 4 b^{2} \cdot - 8$

Step 4

Multiply $- 8$ by $4$ .

$4 b^{5} - 32 b^{2}$