How do you simplify (4x^3 - 3x - 7) - (3x^3 + 5x + 3)(4x33x7)(3x3+5x+3)?

1 Answer
Jun 11, 2015

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

Explanation:

(color(blue)(4x^3-3x-7)) - (color(red)(3x^3+5x+3))(4x33x7)(3x3+5x+3)

= (color(blue)(+4x^3) - color(red)(3x^3))+(color(blue)(-3x) - color(red)(5x))+(color(blue)(-7) - color(red)(3))=(+4x33x3)+(3x5x)+(73)

= x^3 -8x -10=x38x10