Algebra Examples

$(3 - 13 x - 7 x^{2}) - (5 x^{2} + 12 x - 10)$

Step 1

Regroup terms.

$- (5 x^{2} + 12 x - 10) + 3 - 13 x - 7 x^{2}$

Step 2

Factor $- 1$ out of $3 - 13 x - 7 x^{2}$ .

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Step 2.1

Reorder the expression.

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Step 2.1.1

Move $3$ .

$- (5 x^{2} + 12 x - 10) - 13 x - 7 x^{2} + 3$

Step 2.1.2

Reorder $- 13 x$ and $- 7 x^{2}$ .

$- (5 x^{2} + 12 x - 10) - 7 x^{2} - 13 x + 3$

Step 2.2

Factor $- 1$ out of $- 7 x^{2}$ .

$- (5 x^{2} + 12 x - 10) - (7 x^{2}) - 13 x + 3$

Step 2.3

Factor $- 1$ out of $- 13 x$ .

$- (5 x^{2} + 12 x - 10) - (7 x^{2}) - (13 x) + 3$

Step 2.4

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

$- (5 x^{2} + 12 x - 10) - (7 x^{2}) - (13 x) - 1 (- 3)$

Step 2.5

Factor $- 1$ out of $- (7 x^{2}) - (13 x)$ .

$- (5 x^{2} + 12 x - 10) - (7 x^{2} + 13 x) - 1 (- 3)$

Step 2.6

Factor $- 1$ out of $- (7 x^{2} + 13 x) - 1 (- 3)$ .

$- (5 x^{2} + 12 x - 10) - (7 x^{2} + 13 x - 3)$

Step 3

Factor $- 1$ out of $- (5 x^{2} + 12 x - 10) - (7 x^{2} + 13 x - 3)$ .

$- (5 x^{2} + 12 x - 10 + 7 x^{2} + 13 x - 3)$

Step 4

Add $5 x^{2}$ and $7 x^{2}$ .

$- (12 x^{2} + 12 x - 10 + 13 x - 3)$

Step 5

Add $12 x$ and $13 x$ .

$- (12 x^{2} + 25 x - 10 - 3)$

Step 6

Subtract $3$ from $- 10$ .

$- (12 x^{2} + 25 x - 13)$