Algebra Examples

$(- p^{2} + 4 p) - (p^{2} - 3 p + 15)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- p^{2} + 4 p - p^{2} - (- 3 p) - 1 \cdot 15$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 3$ by $- 1$ .

$- p^{2} + 4 p - p^{2} + 3 p - 1 \cdot 15$

Step 1.2.2

Multiply $- 1$ by $15$ .

$- p^{2} + 4 p - p^{2} + 3 p - 15$

$- p^{2} + 4 p - p^{2} + 3 p - 15$

$- p^{2} + 4 p - p^{2} + 3 p - 15$

Step 2

Simplify by adding terms.

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Step 2.1

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

$- 2 p^{2} + 4 p + 3 p - 15$

Step 2.2

Add $4 p$ and $3 p$ .

$- 2 p^{2} + 7 p - 15$

$- 2 p^{2} + 7 p - 15$

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