Algebra Examples

$- 2 f^{2} - 3 f - 5 + (- 2 f^{2} - 3 f + 8)$

Step 1

Remove parentheses.

$- 2 f^{2} - 3 f - 5 - 2 f^{2} - 3 f + 8$

Step 2

Subtract $2 f^{2}$ from $- 2 f^{2}$ .

$- 4 f^{2} - 3 f - 5 - 3 f + 8$

Step 3

Subtract $3 f$ from $- 3 f$ .

$- 4 f^{2} - 6 f - 5 + 8$

Step 4

Add $- 5$ and $8$ .

$- 4 f^{2} - 6 f + 3$

Step 5

Factor $- 1$ out of $- 4 f^{2} - 6 f + 3$ .

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Step 5.1

Factor $- 1$ out of $- 4 f^{2}$ .

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

Step 5.2

Factor $- 1$ out of $- 6 f$ .

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

Step 5.3

Rewrite $3$ as $- 1 (- 3)$ .

$- (4 f^{2}) - (6 f) - 1 (- 3)$

Step 5.4

Factor $- 1$ out of $- (4 f^{2}) - (6 f)$ .

$- (4 f^{2} + 6 f) - 1 (- 3)$

Step 5.5

Factor $- 1$ out of $- (4 f^{2} + 6 f) - 1 (- 3)$ .

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

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

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