How do you combine like terms in #(23x ^ { 2} - 27) - ( - 31x ^ { 2} - 41) - ( 22x ^ { 2} + 14)#?

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Answer 1 · 2017-03-08T22:30:11

#32x^2#
just add the coefficients of the same order

#(23x^2-27)-(-31x^2-41) -(22x^2+14)#

#23x^2-27 +31x^2+41-22x^2-14#

#23x^2+31x^2-22x^2-27+41-14#

#(23+31-22)x^2 -27+41-14#

#32x^2+14-14#

= #32x^2#

Answer 2 · 2018-08-06T02:42:47

#32x^2#

We can distribute the negatives to now obtain the expression

#23x^2-27+31x^2+41-22x^2-14#

Now, we just combine the terms with the same degree with each other. We get

#32x^2-27+41-14#

The constants cancel out, and we're left with

#32x^2#

Hope this helps!