Finite Math Examples

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

Step 1

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

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Step 1.1

Factor $2 x$ out of $6 x^{3} (2 - y)$ .

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

Step 1.2

Factor $2 x$ out of $- 8 x^{2} (2 - y)$ .

$2 x (3 x^{2} (2 - y)) + 2 x (- 4 x (2 - y)) + 4 x (y - 2)$

Step 1.3

Factor $2 x$ out of $4 x (y - 2)$ .

$2 x (3 x^{2} (2 - y)) + 2 x (- 4 x (2 - y)) + 2 x (2 (y - 2))$

Step 1.4

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

$2 x (3 x^{2} (2 - y) - 4 x (2 - y)) + 2 x (2 (y - 2))$

Step 1.5

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

$2 x (3 x^{2} (2 - y) - 4 x (2 - y) + 2 (y - 2))$

Step 2

Apply the distributive property.

$2 x (3 x^{2} \cdot 2 + 3 x^{2} (- y) - 4 x (2 - y) + 2 (y - 2))$

Step 3

Multiply $2$ by $3$ .

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

Step 4

Rewrite using the commutative property of multiplication.

$2 x (6 x^{2} + 3 \cdot - 1 x^{2} y - 4 x (2 - y) + 2 (y - 2))$

Step 5

Multiply $3$ by $- 1$ .

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

Step 6

Apply the distributive property.

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

Step 7

Multiply $2$ by $- 4$ .

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

Step 8

Rewrite using the commutative property of multiplication.

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

Step 9

Multiply $- 4$ by $- 1$ .

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

Step 10

Apply the distributive property.

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

Step 11

Multiply $2$ by $- 2$ .

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