Algebra Examples

$- 2 (4 v^{2} + 5 v) + v (v^{2} + 6 v)$

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

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 2 (4 v^{2}) - 2 (5 v) + v (v^{2} + 6 v)$

Step 2.2

Multiply $4$ by $- 2$ .

$- 8 v^{2} - 2 (5 v) + v (v^{2} + 6 v)$

Step 2.3

Multiply $5$ by $- 2$ .

$- 8 v^{2} - 10 v + v (v^{2} + 6 v)$