How do you find the sum or difference of #(cd^2+2cd-4)+(-6+4cd-2cd^2)#?

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Answer 1 · 2016-12-21T14:42:29

#-cd^2 + 6cd - 10#

First, you need to expand the terms within parenthesis. Pay special attention to the signs of each term:

#cd^2 + 2cd - 4 + (-6) + 4cd + (-2cd^2)#

#cd^2 + 2cd - 4 - 6 + 4cd - 2cd^2#

Next we can group like terms:

#cd^2 - 2cd^2 + 2cd + 4cd - 4 - 6#

Then finally, we can combine like terms:

#(1 - 2)cd^2 + (2 + 4)cd - 10#

#-1cd^2 + 6cd - 10#

#-cd^2 + 6cd - 10#