Simplify (p+7)-(6p^2+13p)

$(p + 7) - (6 p^{2} + 13 p)$

Step 1

Simplify each term.

Apply the distributive property.

$p + 7 - (6 p^{2}) - (13 p)$

Multiply $6$ by $- 1$ .

$p + 7 - 6 p^{2} - (13 p)$

Multiply $13$ by $- 1$ .

$p + 7 - 6 p^{2} - 13 p$

$p + 7 - 6 p^{2} - 13 p$

Step 2

Simplify by adding terms.

Subtract $13 p$ from $p$ .

$- 12 p + 7 - 6 p^{2}$

Simplify the expression.

Move $7$ .

$- 12 p - 6 p^{2} + 7$

Reorder $- 12 p$ and $- 6 p^{2}$ .

$- 6 p^{2} - 12 p + 7$

$- 6 p^{2} - 12 p + 7$

$- 6 p^{2} - 12 p + 7$

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