SOLUTION: bTO THE POWER OF 2 - 2bc+ cTO THE POWER OF 2 =

Question 84712: bTO THE POWER OF 2 - 2bc+ cTO THE POWER OF 2 =
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
I think what you are after is finding the factors of this trinomial. The first term
can be factored into b times b. Therefore you can set up two pairs of parentheses and use b
as the first term for both ... as in (b + _ )*(b + _ ).
.
The last term in the given trinomial is and it can be factored in a couple of
ways ... it can be +c times +c or -c times -c. Both of these products will be positive.
.
But notice that the middle term of the trinomial is negative. This tells you that the factors
you need to use for the last term and negative c times negative c in order to generate
a -2bc in the trinomial.
.
This means that the pair of factors must be (b - c)*(b - c) and since both factors are
the same, you can write this as .
.
So the answer to factoring the given trinomial is that it factors to .
.
Hope this is what you were looking for. If not, re-post your problem and let us know what
you are being asked to do. Cheers!
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