SOLUTION: Q. Express the following as the square of a binomial. 1. a^2-1+1/4a^2 Please show me in detail. Thank you.

Question 1101495: Q. Express the following as the square of a binomial.
1. a^2-1+1/4a^2
Please show me in detail. Thank you.

Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

What kind of detail are you looking for?

If is to be the square of a binomial (X+Y), then X squared has to be equal to a^2 (which means X is a), and Y^2 has to be 1/4a^2 (which means Y is 1/2a).

Then, seeing that the middle term of the given expression is negative, we know the binomial we are looking for has to be .

This is verified when we square the binomial and get .
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