Algebra Examples

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

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.

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Step 4.1

Move $6 q^{2}$ .

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

Step 4.2

Move $- 6 p^{3}$ .

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

Step 4.3

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

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