Algebra Examples

$5 p^{2} - 3 + (2 p^{2} - 3 p^{3})$

Step 1

Remove parentheses.

$5 p^{2} - 3 + 2 p^{2} - 3 p^{3}$

Step 2

Add $5 p^{2}$ and $2 p^{2}$ .

$7 p^{2} - 3 - 3 p^{3}$

Step 3

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

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Step 3.1

Reorder the expression.

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Step 3.1.1

Move $- 3$ .

$7 p^{2} - 3 p^{3} - 3$

Step 3.1.2

Reorder $7 p^{2}$ and $- 3 p^{3}$ .

$- 3 p^{3} + 7 p^{2} - 3$

$- 3 p^{3} + 7 p^{2} - 3$

Step 3.2

Factor $- 1$ out of $- 3 p^{3}$ .

$- (3 p^{3}) + 7 p^{2} - 3$

Step 3.3

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

$- (3 p^{3}) - (- 7 p^{2}) - 3$

Step 3.4

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

$- (3 p^{3}) - (- 7 p^{2}) - 1 (3)$

Step 3.5

Factor $- 1$ out of $- (3 p^{3}) - (- 7 p^{2})$ .

$- (3 p^{3} - 7 p^{2}) - 1 (3)$

Step 3.6

Factor $- 1$ out of $- (3 p^{3} - 7 p^{2}) - 1 (3)$ .

$- (3 p^{3} - 7 p^{2} + 3)$

$- (3 p^{3} - 7 p^{2} + 3)$

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