How do you combine like terms in #(12x ^ { 3} + 15x ^ { 2} - 10x ) + ( 6x + 3x ^ { 3} - 5x ^ { 2} )#?

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Answer 1 · 2018-06-12T09:57:58

Here.

•See, first open the brackets by multiplying 1 with all its insides. So you get:

(#12x^3#+ #15x^2#- #10x#) + (#6x#+ #3x^3#- #5x^2#)

So this becomes:

#12x^3#+ #15x^2#- #10x#+ #6x#+ #3x^3#- #5x^2#

•Now bring all the like terms together. So all the #x^3# are together and all the #x^2# are together and all the #x# are together.

So you get:
#12x^3#+ #3x^3#+ #15x^2#-#5x^2#- #10x#+ #6x#

•Then you start adding and subtracting the like terms. So you get:

#15x^3#+ #10x^2#- #4x#