SOLUTION: simplify (3a4-2a2+5a-10)-(2a4+4a2+5a-2)

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Question 359098: simplify (3a4-2a2+5a-10)-(2a4+4a2+5a-2)
Answer by aggie_tutor(13) About Me  (Show Source):
You can put this solution on YOUR website!
(3a4-2a2+5a-10)-(2a4+4a2+5a-2)
remove first set of parentheses:
3a%5E4+-+2a%5E2+%2B+5a+-+10+-%282a%5E4+%2B+4a%5E2+%2B+5a+-+2%29
apply "-" sign to second parentheses (distributive prop):
3a%5E4+-+2a%5E2+%2B+5a+-+10+-+2a%5E4+-+4a%5E2+-+5a+-%28-2%29
the - of a - becomes a + :
3a%5E4+-+2a%5E2+%2B+5a+-+10+-+2a%5E4+-+4a%5E2+-+5a+%2B+2
combine like terms:
3a%5E4+-+2a%5E4+-+2a%5E2+-4a%5E2+%2B+5a+-+5a+-+10+%2B+2
Factor out the variables that are alike:
%283-2%29a%5E4+%2B+%28-2-4%29a%5E2+%2B+%285-5%29a+%2B+%28-10+%2B+2%29
{(1)a^4 + (-6)a^2 + 0a + (-8)}}}
0a is just 0, makea the "a" term go away:
a%5E4+-6a%5E2+-8
can try to factor as squares, but it doesn't work out:
8 = (-4) x (+2) product factors cannot add to make 6.