How do you simplify #(8n^4-6n^2-4)-(6n^2+4-n^4)+(2n^2+3n^4-4-2n)#?

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Answer 1 · 2016-12-14T20:14:55

#12n^4 - 10n^2 - 2n - 12#

Step 1) Eliminate all of the parenthesis ensuring you handle all signs correctly:

#8n^4 - 6n^2 - 4 - 6n^2 - 4 + n^4 + 2n^2 + 3n^4 - 4 - 2n#

Step 2) Combine like terms:

#8n^4 + n^4 + 3n^4 - 6n^2 - 6n^2 + 2n^2 - 2n - 4 - 4 - 4#

Step 3) Combine like terms:

#(8 + 1 + 3)n^4 + (-6 - 6 + 2)n^2 - 2n - 12#

#12n^4 - 10n^2 - 2n - 12#