How do you simplify #(15x^2 - 9x + 9) - (13x^2 + 15x + 5) - (-16x^2 + 20x + 16) - (-7x^2 + 10x - 10)#?

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Answer 1 · 2015-06-09T11:36:57

The answer is #25x^2-54x+22#

Go from left to right. A negative sign in front of a set of parentheses changes the signs of the numbers inside the parentheses.

#(15x^2-9x+9)-(13x^2+15x+5)-(-16x+20x+16)-(-7x^2+10x-10)=#

#(15x^2-9x+9)+(-13x^2-15x-5)+(16x^2-20x-16)+(7x^2-10x+10)#

Gather like terms.

#(15x^2-13x^2+16x^2+7x^2)+(-9x-15x-20x-10x)+(9-5-16+10)#

Simplify.

#25x^2-54x+22#