What is #(8n-3n^4+10n^2)-(3n^2+11n^4-7)#?

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Answer 1 · 2017-02-25T13:37:22

#-14n^4 + 7n^2 + 8n + 7#

First, remove all of the terms from parenthesis. Be careful to handle the signs on the individual terms correctly:

#8color(green)(n) - 3color(red)(n^4) + 10color(blue)(n^2) - 3color(blue)(n^2) - 11color(red)(n^4) + 7#

Next, group like terms together:

#-3color(red)(n^4) - 11color(red)(n^4) + 10color(blue)(n^2) - 3color(blue)(n^2) + 8color(green)(n) + 7#

Now, combine like terms:

#(-3 - 11)color(red)(n^4) + (10 - 3)color(blue)(n^2) + 8color(green)(n) + 7#

#-14color(red)(n^4) + 7color(blue)(n^2) + 8color(green)(n) + 7#