Question

How do you combine `(6x^2 - 5xz - 3z^2) - (4x^2 + 6xz - 8z^2)`?

Answer 1

`(6x^2 - 5xz - 3z^2) - (4x^2 + 6xz - 8z^2)`
We can Group Like Terms to combine the expressions

`6x^2 - 5xz - 3z^2 - color(red)(4x^2) - color(blue)( 6xz) +color(green)( 8z^2`

`(6x^2 - color(red)(4x^2)) + (- 5xz- color(blue)( 6xz)) +(- 3z^2 +color(green)( 8z^2))`

`= 2x^2 - 11xz +5z^2`