Algebra Examples

$(- 6 x^{3} + 9 x^{2} + 4) - (- 5 x^{3} + 2 x - 5)$

Step 1

Regroup terms.

$- (- 5 x^{3} + 2 x - 5) - 6 x^{3} + 9 x^{2} + 4$

Step 2

Factor $- 1$ out of $- 6 x^{3} + 9 x^{2} + 4$ .

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Step 2.1

Factor $- 1$ out of $- 6 x^{3}$ .

$- (- 5 x^{3} + 2 x - 5) - (6 x^{3}) + 9 x^{2} + 4$

Step 2.2

Factor $- 1$ out of $9 x^{2}$ .

$- (- 5 x^{3} + 2 x - 5) - (6 x^{3}) - (- 9 x^{2}) + 4$

Step 2.3

Rewrite $4$ as $- 1 (- 4)$ .

$- (- 5 x^{3} + 2 x - 5) - (6 x^{3}) - (- 9 x^{2}) - 1 (- 4)$

Step 2.4

Factor $- 1$ out of $- (6 x^{3}) - (- 9 x^{2})$ .

$- (- 5 x^{3} + 2 x - 5) - (6 x^{3} - 9 x^{2}) - 1 (- 4)$

Step 2.5

Factor $- 1$ out of $- (6 x^{3} - 9 x^{2}) - 1 (- 4)$ .

$- (- 5 x^{3} + 2 x - 5) - (6 x^{3} - 9 x^{2} - 4)$

Step 3

Factor $- 1$ out of $- (- 5 x^{3} + 2 x - 5) - (6 x^{3} - 9 x^{2} - 4)$ .

$- (- 5 x^{3} + 2 x - 5 + 6 x^{3} - 9 x^{2} - 4)$

Step 4

Add $- 5 x^{3}$ and $6 x^{3}$ .

$- (x^{3} + 2 x - 5 - 9 x^{2} - 4)$

Step 5

Subtract $4$ from $- 5$ .

$- (x^{3} + 2 x - 9 x^{2} - 9)$

Step 6

Reorder terms.

$- (x^{3} - 9 x^{2} + 2 x - 9)$