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prove the trinomial x^2+2x+1 is binomial squared
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You need to remember the formula of the perfect square:
(a+b)^2=a^2 + 2ab + b^2
Compare the trinomial and the expansion of binomial raised to square.
`x^2 + 2x + 1 = a^2 + 2ab + b^2`
Take a look at both expansions and you'll conclude that a=x and b=1.
Based on this conclusion, you may write the trinomial as a binomial raised to square.
`x^2 + 2x + 1 = (x+1)^2`
ANSWER: The trinomial `x^2 + 2x + 1` is the expansion of binomial `(x+1)^2` .
Posted by sciencesolve on November 26, 2011 at 6:59 PM (Answer #1)
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