Basic Math Examples

$3 v^{2} - 11 p^{2} + 12 j^{2} + (- 10 v^{2} + 6 p^{2} - 5 j^{2})$

Step 1

Remove parentheses.

$3 v^{2} - 11 p^{2} + 12 j^{2} - 10 v^{2} + 6 p^{2} - 5 j^{2}$

Step 2

Subtract $10 v^{2}$ from $3 v^{2}$ .

$- 11 p^{2} + 12 j^{2} - 7 v^{2} + 6 p^{2} - 5 j^{2}$

Step 3

Add $- 11 p^{2}$ and $6 p^{2}$ .

$- 5 p^{2} + 12 j^{2} - 7 v^{2} - 5 j^{2}$

Step 4

Subtract $5 j^{2}$ from $12 j^{2}$ .

$- 5 p^{2} + 7 j^{2} - 7 v^{2}$

Step 5

Factor $- 1$ out of $- 5 p^{2} + 7 j^{2} - 7 v^{2}$ .

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Step 5.1

Reorder $- 5 p^{2}$ and $7 j^{2}$ .

$7 j^{2} - 5 p^{2} - 7 v^{2}$

Step 5.2

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

$- (- 7 j^{2}) - 5 p^{2} - 7 v^{2}$

Step 5.3

Factor $- 1$ out of $- 5 p^{2}$ .

$- (- 7 j^{2}) - (5 p^{2}) - 7 v^{2}$

Step 5.4

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

$- (- 7 j^{2}) - (5 p^{2}) - (7 v^{2})$

Step 5.5

Factor $- 1$ out of $- (- 7 j^{2}) - (5 p^{2})$ .

$- (- 7 j^{2} + 5 p^{2}) - (7 v^{2})$

Step 5.6

Factor $- 1$ out of $- (- 7 j^{2} + 5 p^{2}) - (7 v^{2})$ .

$- (- 7 j^{2} + 5 p^{2} + 7 v^{2})$

Step 6

Factor.

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Step 6.1

Factor $- 1$ out of $- 7 j^{2} + 5 p^{2} + 7 v^{2}$ .

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Step 6.1.1

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

$- (- (7 j^{2}) + 5 p^{2} + 7 v^{2})$

Step 6.1.2

Factor $- 1$ out of $5 p^{2}$ .

$- (- (7 j^{2}) - (- 5 p^{2}) + 7 v^{2})$

Step 6.1.3

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

$- (- (7 j^{2}) - (- 5 p^{2}) - (- 7 v^{2}))$

Step 6.1.4

Factor $- 1$ out of $- (7 j^{2}) - (- 5 p^{2})$ .

$- (- (7 j^{2} - 5 p^{2}) - (- 7 v^{2}))$

Step 6.1.5

Factor $- 1$ out of $- (7 j^{2} - 5 p^{2}) - (- 7 v^{2})$ .

$- - (7 j^{2} - 5 p^{2} - 7 v^{2})$

Step 6.2

Remove unnecessary parentheses.

$- - 1 (7 j^{2} - 5 p^{2} - 7 v^{2})$

Step 7

Combine exponents.

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Step 7.1

Factor out negative.

$- - (7 j^{2} - 5 p^{2} - 7 v^{2})$

Step 7.2

Multiply $- 1$ by $- 1$ .

$1 (7 j^{2} - 5 p^{2} - 7 v^{2})$

Step 7.3

Multiply $7 j^{2} - 5 p^{2} - 7 v^{2}$ by $1$ .

$7 j^{2} - 5 p^{2} - 7 v^{2}$