Question

How do you combine like terms in `(8x^2+7c-5)-(3x^2-4x)-(-6x^3-5x^2+3)`?

Answer 1

`6x^3+10x^2+4x+7c-8`

Explanation:

Remove the brackets first, be careful with the signs - the minus signs make the signs inside the brackets change.

`8x^2+7c-5-3x^2+4x+6x^3+5x^2-3`

Now identify any like terms - you might like to re-arrange the expression first, then simplify.

=`color(magenta)(6x^3)color(blue)(+8x^2+5x^2-3x^2)color(lime)(+4x)color(red)(+7c)color(orange)(-5-3)`

=`color(magenta)(6x^3)color(blue)(+10x^2)color(lime)(+4x)color(red)(+7c)color(orange)(-8)`