SOLUTION: What is a shortcut of finding a trinomial squared...For Example like: (x^2-3x+5)^2

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Question 22923: What is a shortcut of finding a trinomial squared...For Example like:
(x^2-3x+5)^2
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
%28a+%2B+b%2Bc%29%5E2

I'd never thought of it before, but I suppose you could square each of the terms, then take twice the product of each combination of terms.

a%5E2+%2B+b%5E2%2Bc%5E2+%2B+2ab+%2B+2ac+%2B+2bc

I guess that would do it, right?

Try it out:
+%28x%5E2+-3x+%2B5%29%5E2=+%28x%5E2%29%5E2+%2B+%28-3x%29%5E2+%2B+5%5E2+%2B+2%28x%5E2%2A%28-3x%29%29+%2B+2%28x%5E2%2A5%29+%2B+2%28-3x%29%2A5

= x%5E4+%2B+9x%5E2+%2B+25+-6x%5E3%2B+10x%5E2+-30x
= x%5E4+-+6x%5E3+%2B+19x%5E2+-30x+%2B+25

I don't know! It probably is easier (and safer!) to just multiply it out the regular way. Maybe that's why I never heard of this "shortcut"!!

R^2 at SCC