Basic Math Examples

$24 v^{3} (y + 6) - 32 v^{2} (- 6 - y) - 16 v (y + 6)$

Step 1

Factor $8 v$ out of $24 v^{3} (y + 6) - 32 v^{2} (- 6 - y) - 16 v (y + 6)$ .

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Step 1.1

Factor $8 v$ out of $24 v^{3} (y + 6)$ .

$8 v (3 v^{2} (y + 6)) - 32 v^{2} (- 6 - y) - 16 v (y + 6)$

Step 1.2

Factor $8 v$ out of $- 32 v^{2} (- 6 - y)$ .

$8 v (3 v^{2} (y + 6)) + 8 v (- 4 v (- 6 - y)) - 16 v (y + 6)$

Step 1.3

Factor $8 v$ out of $- 16 v (y + 6)$ .

$8 v (3 v^{2} (y + 6)) + 8 v (- 4 v (- 6 - y)) + 8 v (- 2 (y + 6))$

Step 1.4

Factor $8 v$ out of $8 v (3 v^{2} (y + 6)) + 8 v (- 4 v (- 6 - y))$ .

$8 v (3 v^{2} (y + 6) - 4 v (- 6 - y)) + 8 v (- 2 (y + 6))$

Step 1.5

Factor $8 v$ out of $8 v (3 v^{2} (y + 6) - 4 v (- 6 - y)) + 8 v (- 2 (y + 6))$ .

$8 v (3 v^{2} (y + 6) - 4 v (- 6 - y) - 2 (y + 6))$

Step 2

Apply the distributive property.

$8 v (3 v^{2} y + 3 v^{2} \cdot 6 - 4 v (- 6 - y) - 2 (y + 6))$

Step 3

Multiply $6$ by $3$ .

$8 v (3 v^{2} y + 18 v^{2} - 4 v (- 6 - y) - 2 (y + 6))$

Step 4

Apply the distributive property.

$8 v (3 v^{2} y + 18 v^{2} - 4 v \cdot - 6 - 4 v (- y) - 2 (y + 6))$

Step 5

Multiply $- 6$ by $- 4$ .

$8 v (3 v^{2} y + 18 v^{2} + 24 v - 4 v (- y) - 2 (y + 6))$

Step 6

Rewrite using the commutative property of multiplication.

$8 v (3 v^{2} y + 18 v^{2} + 24 v - 4 \cdot - 1 v y - 2 (y + 6))$

Step 7

Multiply $- 4$ by $- 1$ .

$8 v (3 v^{2} y + 18 v^{2} + 24 v + 4 v y - 2 (y + 6))$

Step 8

Apply the distributive property.

$8 v (3 v^{2} y + 18 v^{2} + 24 v + 4 v y - 2 y - 2 \cdot 6)$

Step 9

Multiply $- 2$ by $6$ .

$8 v (3 v^{2} y + 18 v^{2} + 24 v + 4 v y - 2 y - 12)$