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

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Answer 1 · 2018-03-20T03:20:15

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

#-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#