Trigonometry Examples

$- 4 a + 8 a^{2}$

Step 1

Factor $- 4 a$ out of $- 4 a + 8 a^{2}$ .

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Step 1.1

Reorder $- 4 a$ and $8 a^{2}$ .

$8 a^{2} - 4 a$

Step 1.2

Factor $- 4 a$ out of $8 a^{2}$ .

$- 4 a (- 2 a) - 4 a$

Step 1.3

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

$- 4 a (- 2 a) - 4 a (1)$

Step 1.4

Factor $- 4 a$ out of $- 4 a (- 2 a) - 4 a (1)$ .

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

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

Step 2

Factor.

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Step 2.1

Factor $- 1$ out of $- 2 a + 1$ .

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Step 2.1.1

Factor $- 1$ out of $- 2 a$ .

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

Step 2.1.2

Rewrite $1$ as $- 1 (- 1)$ .

$- 4 a (- (2 a) - 1 (- 1))$

Step 2.1.3

Factor $- 1$ out of $- (2 a) - 1 (- 1)$ .

$- 4 a (- (2 a - 1))$

$- 4 a (- (2 a - 1))$

Step 2.2

Remove unnecessary parentheses.

$- 4 a \cdot - 1 (2 a - 1)$

$- 4 a \cdot - 1 (2 a - 1)$

Step 3

Combine exponents.

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Step 3.1

Factor out negative.

$- (- 4 a (2 a - 1))$

Step 3.2

Multiply $- 4$ by $- 1$ .

$4 (a (2 a - 1))$

$4 (a (2 a - 1))$

Step 4

Remove unnecessary parentheses.

$4 a (2 a - 1)$

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