How do you simplify #(5n ^ { 2} - n ^ { 4} + 7n ^ { 3} ) - ( n ^ { 3} - 6n ^ { 4} - 2n ^ { 2} )#?

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Answer 1 · 2017-06-24T00:22:30

See below.

We combine like terms (terms where the #x#-exponent are the same)

#(5n ^ { 2} - n ^ { 4} + 7n ^ { 3} ) - ( n ^ { 3} - 6n ^ { 4} - 2n ^ { 2} )#

The #n^2#'s combine, the #n^4#'s combine, etc.

#5n ^ { 2} - n ^ { 4} + 7n ^ { 3} - n ^ { 3} +6n ^ { 4} + 2n ^ { 2} #

#5n ^ { 2}+2n^2 - n ^ { 4} +6n^4+ 7n ^ { 3} - n ^ { 3} #

#7n ^ { 2} +5n^4+ 6n ^ { 3} #

#=7n ^ { 2} +6n ^ { 3} +5n^4#