Algebra Examples

$8 r^{2} (r^{2} - 2)$

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.

$8 r^{2} r^{2} + 8 r^{2} \cdot - 2$

Step 3

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

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Step 3.1

Move $r^{2}$ .

$8 (r^{2} r^{2}) + 8 r^{2} \cdot - 2$

Step 3.2

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

$8 r^{2 + 2} + 8 r^{2} \cdot - 2$

Step 3.3

Add $2$ and $2$ .

$8 r^{4} + 8 r^{2} \cdot - 2$

Step 4

Multiply $- 2$ by $8$ .

$8 r^{4} - 16 r^{2}$