How do you simplify #(3a^4-2a^2+5a-10)-(2a^4+4a^2+5a-2)#?

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Answer 1 · 2015-09-10T01:57:25

The simplify form of
#(3a^4 - 2a^2 +5a -10)# - #(2a^4 +4a^2 +5a -2)#

is #a^4 -6a^2 -8#

In order to simplify
#(3a^4 - 2a^2 +5a -10)# - #(2a^4 +4a^2 +5a -2)#, you must

distribute the negative to all of #(2a^4 +4a^2 +5a -2)#

so - #(2a^4 +4a^2 +5a -2)# is equal to -#2a^4 -4a^2 -5a +2#

now you take

#3a^4 - 2a^2 +5a -10#
-#2a^4 -4a^2 -5a +2#

= #a^4 -6a^2 -8#