How do you factor #121-22u+u^2# using the perfect squares formula?
2 Answers
Given -
#121-22u+u^2#
#u^2-22u+121=0#
Take the constant term to the right
#u^2-22u=-121#
Take half of the coefficient of
#u^2-22u+121=-121+121#
#(u-11)^2=0#
#(u-11)(u-11)#
Explanation:
As the middle term is negative, let us compare
It is observed that
Question is can we have
we also have last term
Question is can we have
The decision whether we can have (1) and (2)
is based on third term i.e. whether
We can check it. As
and hence
Once our understanding is clear we can do the entire in short as the following
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