What is #(-9x^3+6x^2-8x-5)-(-10x^3 + 12x^2+4x+10)#?

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Answer 1 · 2018-05-21T08:40:30

#x^3 - 6x^2 -12x -15#

If you write the sum without the brackets you have

#-9x^3+6x^2-8x-5+10x^3-12x^2-4x-10#

then collect like terms

Answer 2 · 2018-05-21T08:43:10

#x^3 -6x^2 -12x - 15#

Just use Distributive Property to Expand and then Perform Addition or Subtraction to the Like Terms.

We have,

#(-9x^3 + 6x^2 - 8x - 5) - (-10x^3 + 12x^2 + 4x + 10)#

#= -9x^3 + 6x^2 - 8x - 5 +10x^3 - 12x^2 - 4x - 10#

#= (-9 + 10)x^3 + (6 - 12)x^2 + (-8 - 4)x - 15# [Grouping the like terms]

#= x^3 -6x^2 -12x - 15#

Hope this helps.