How do you simplify #(2x ^ { 2} - 8x - 9) + ( - 5x ^ { 2} + 3x + 1)#?

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Answer 1 · 2017-09-23T15:57:22

Answer: #-3x^2 -5x -10#

Just simplification. You need to collect like-terms.

Step one:

#color(red)(2x^2) - 8x -9 + color(red)((-5x^2)) +3x + 1#

when simplified this gives us

#color(green)(-3x^2)-8x -9+3x+1#

Step two:

#-3x^2 color(red)(-8x) -9 + color(red)(3x) +1#

when simplified this gives us

#-3x^2color(green)(-5x)-9-1#

Final step:

#-3x^2 -5x color(red)(-9) color(red)(-1)#

Answer:

#-3x^2 -5x -10#