Expand the Trigonometric Expression 8r^2(r^2-2)

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

Step 1

Apply the distributive property.

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

Step 2

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

Move $r^{2}$ .

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

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

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

Add $2$ and $2$ .

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

Step 3

Multiply $- 2$ by $8$ .

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