What is the simplified form of #(-2x^5 + 3x^2- 4x + 9) -(2x^2+ 5x-6)- (-3x^5+ 8x^4-7x^2- 15)#?

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Answer 1 · 2018-01-24T13:36:42

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#-2x^5 + 3x^2 - 4x + 9 -2x^2 - 5x + 6 + 3x^5 - 8x^4 + 7x^2 + 15#

Next, group like terms:

#-2x^5 + 3x^5 - 8x^4 + 3x^2 -2x^2 + 7x^2 - 4x - 5x + 9 + 6 + 15#

Now, combine like terms:

#(-2 + 3)x^5 - 8x^4 + (3 - 2 + 7)x^2 + (-4 - 5)x + (9 + 6 + 15)#

#1x^5 - 8x^4 + 8x^2 + (-9)x + 30#

#x^5 - 8x^4 + 8x^2 - 9x + 30#