Simplify (p^3+4)-((p^2+4)+(3p-9))

$(p^{3} + 4) - ((p^{2} + 4) + (3 p - 9))$

Step 1

Remove parentheses.

$p^{3} + 4 - (p^{2} + 4 + 3 p - 9)$

Step 2

Simplify each term.

Subtract $9$ from $4$ .

$p^{3} + 4 - (p^{2} + 3 p - 5)$

Apply the distributive property.

$p^{3} + 4 - p^{2} - (3 p) - - 5$

Simplify.

Multiply $3$ by $- 1$ .

$p^{3} + 4 - p^{2} - 3 p - - 5$

Multiply $- 1$ by $- 5$ .

$p^{3} + 4 - p^{2} - 3 p + 5$

$p^{3} + 4 - p^{2} - 3 p + 5$

$p^{3} + 4 - p^{2} - 3 p + 5$

Step 3

Add $4$ and $5$ .

$p^{3} - p^{2} - 3 p + 9$

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