Algebra Examples

$(9 a^{2} + 8 a b - 7 b^{2}) + (6 a^{2} - 5 a b - 4 b^{2})$

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 $9 a^{2}$ and $6 a^{2}$ .

$15 a^{2} + 8 a b - 7 b^{2} - 5 a b - 4 b^{2}$

Step 3

Subtract $5 a b$ from $8 a b$ .

$15 a^{2} - 7 b^{2} + 3 a b - 4 b^{2}$

Step 4

Subtract $4 b^{2}$ from $- 7 b^{2}$ .

$15 a^{2} - 11 b^{2} + 3 a b$

Step 5

Move $- 11 b^{2}$ .

$15 a^{2} + 3 a b - 11 b^{2}$