How do you multiply #-x (4x^2 - 2x) - 5x^3#?

1 Answer
Mar 20, 2018

Answer:

#-x (4x^2 - 2x) - 5x^3 = color(brown)(-9x^3 + 2x^2#

Explanation:

#-x (4x^2 - 2x) - 5x^3#

# => -x * 4 x^2 - x * -2x - 5x^3# Removing the bracket.

# => - 4 (x^2 * x) + (2 x * x) - 5x^3#

#= > -4 x^3 + 2 x^2 - 5 x^3#

#=> -4x^3 - 5 x^3 + 2x^2# Grouping like terms.

# => -x^3 (4 + 5) + 2 x^2#

#=> -9x^3 + 2x^2#