Simplify (-p^2+4p)-(p^2-3p+15)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $- 3$ by $- 1$ .

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

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.

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

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

Add $4 p$ and $3 p$ .

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

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

Related Questions