Simplify (5p^2+7-3p^3-5p)+(-7p^3-3p^2-9-5p)

$(5 p^{2} + 7 - 3 p^{3} - 5 p) + (- 7 p^{3} - 3 p^{2} - 9 - 5 p)$

Step 1

Remove parentheses.

$5 p^{2} + 7 - 3 p^{3} - 5 p - 7 p^{3} - 3 p^{2} - 9 - 5 p$

Step 2

Subtract $3 p^{2}$ from $5 p^{2}$ .

$2 p^{2} + 7 - 3 p^{3} - 5 p - 7 p^{3} - 9 - 5 p$

Step 3

Subtract $9$ from $7$ .

$2 p^{2} - 3 p^{3} - 5 p - 7 p^{3} - 2 - 5 p$

Step 4

Subtract $7 p^{3}$ from $- 3 p^{3}$ .

$2 p^{2} - 10 p^{3} - 5 p - 2 - 5 p$

Step 5

Subtract $5 p$ from $- 5 p$ .

$2 p^{2} - 10 p^{3} - 10 p - 2$

Step 6

Reorder $2 p^{2}$ and $- 10 p^{3}$ .

$- 10 p^{3} + 2 p^{2} - 10 p - 2$