Question

How do you simplify `(3x^2 +7xy- 2y^2)-(x^2- 6xy+2y^2)`?

Answer 1

`2x^2+13xy-4y^2`

Explanation:

The first step is to `color(blue)"distribute the brackets"`

`rArr3x^2+7xy-2y^2-x^2+6xy-2y^2`

now `color(blue)"collect like terms"`

`color(red)(3x^2)+color(magenta)(7xy)-color(blue)(2y^2)-color(red)(x^2)+color(magenta)(6xy)-color(blue)(2y^2)`

`=(color(red)(3x^2-x^2))+(color(magenta)(7xy+6xy))+(color(blue)(-2y^2-2y^2))`

`=2x^2+13xy-4y^2`