Write in Standard Form (-7p^3-4p^2q+q^2)+(p^3-6pq^2+5q^2)

$(- 7 p^{3} - 4 p^{2} q + q^{2}) + (p^{3} - 6 p q^{2} + 5 q^{2})$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Add $- 7 p^{3}$ and $p^{3}$ .

$- 6 p^{3} - 4 p^{2} q + q^{2} - 6 p q^{2} + 5 q^{2}$

Step 3

Add $q^{2}$ and $5 q^{2}$ .

$- 6 p^{3} - 4 p^{2} q + 6 q^{2} - 6 p q^{2}$

Step 4

Simplify the expression.

Move $6 q^{2}$ .

$- 6 p^{3} - 4 p^{2} q - 6 p q^{2} + 6 q^{2}$

Move $- 6 p^{3}$ .

$- 4 p^{2} q - 6 p q^{2} - 6 p^{3} + 6 q^{2}$

Reorder $- 4 p^{2} q$ and $- 6 p q^{2}$ .

$- 6 p q^{2} - 4 p^{2} q - 6 p^{3} + 6 q^{2}$