Finite Math Examples

$8 a + 8 b - 4 b x - 4 a x$

Step 1

Factor $4$ out of $8 a + 8 b - 4 b x - 4 a x$ .

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Step 1.1

Factor $4$ out of $8 a$ .

$4 (2 a) + 8 b - 4 b x - 4 a x$

Step 1.2

Factor $4$ out of $8 b$ .

$4 (2 a) + 4 (2 b) - 4 b x - 4 a x$

Step 1.3

Factor $4$ out of $- 4 b x$ .

$4 (2 a) + 4 (2 b) + 4 (- b x) - 4 a x$

Step 1.4

Factor $4$ out of $- 4 a x$ .

$4 (2 a) + 4 (2 b) + 4 (- b x) + 4 (- a x)$

Step 1.5

Factor $4$ out of $4 (2 a) + 4 (2 b)$ .

$4 (2 a + 2 b) + 4 (- b x) + 4 (- a x)$

Step 1.6

Factor $4$ out of $4 (2 a + 2 b) + 4 (- b x)$ .

$4 (2 a + 2 b - b x) + 4 (- a x)$

Step 1.7

Factor $4$ out of $4 (2 a + 2 b - b x) + 4 (- a x)$ .

$4 (2 a + 2 b - b x - a x)$

$4 (2 a + 2 b - b x - a x)$

Step 2

Regroup terms.

$4 (2 a - a x + 2 b - b x)$

Step 3

Factor $a$ out of $2 a - a x$ .

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Step 3.1

Factor $a$ out of $2 a$ .

$4 (a \cdot 2 - a x + 2 b - b x)$

Step 3.2

Factor $a$ out of $- a x$ .

$4 (a \cdot 2 + a (- 1 x) + 2 b - b x)$

Step 3.3

Factor $a$ out of $a \cdot 2 + a (- 1 x)$ .

$4 (a (2 - 1 x) + 2 b - b x)$

$4 (a (2 - 1 x) + 2 b - b x)$

Step 4

Rewrite $- 1 x$ as $- x$ .

$4 (a (2 - x) + 2 b - b x)$

Step 5

Factor $b$ out of $2 b - b x$ .

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Step 5.1

Factor $b$ out of $2 b$ .

$4 (a (2 - x) + b \cdot 2 - b x)$

Step 5.2

Factor $b$ out of $- b x$ .

$4 (a (2 - x) + b \cdot 2 + b (- 1 x))$

Step 5.3

Factor $b$ out of $b \cdot 2 + b (- 1 x)$ .

$4 (a (2 - x) + b (2 - 1 x))$

$4 (a (2 - x) + b (2 - 1 x))$

Step 6

Rewrite $- 1 x$ as $- x$ .

$4 (a (2 - x) + b (2 - x))$

Step 7

Factor.

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Step 7.1

Factor $2 - x$ out of $a (2 - x) + b (2 - x)$ .

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Step 7.1.1

Factor $2 - x$ out of $a (2 - x)$ .

$4 ((2 - x) a + b (2 - x))$

Step 7.1.2

Factor $2 - x$ out of $b (2 - x)$ .

$4 ((2 - x) a + (2 - x) b)$

Step 7.1.3

Factor $2 - x$ out of $(2 - x) a + (2 - x) b$ .

$4 ((2 - x) (a + b))$

$4 ((2 - x) (a + b))$

Step 7.2

Remove unnecessary parentheses.

$4 (2 - x) (a + b)$

$4 (2 - x) (a + b)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$