Question

How do you simplify `(4x^3 - 3x - 7) - (3x^3 + 5x + 3)`?

Answer 1

Regroup terms with common powers of `x` and do the arithmetic normally.

Explanation:

`(color(blue)(4x^3-3x-7)) - (color(red)(3x^3+5x+3))`

`= (color(blue)(+4x^3) - color(red)(3x^3))+(color(blue)(-3x) - color(red)(5x))+(color(blue)(-7) - color(red)(3))`

`= x^3 -8x -10`