factors of 4x² - 2x +1 is
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The solution is −1±−3√4 (suppose we know what we mean here by −3−−−√).
Then the expansion would be
4x2+2x+1=4(x−−1+−3−−−√4)(x−−1−−3−−−√4)=4(x−1−1−−3−−−√)(x−1−1+−3−−−√)=[−1+(−1−−3−−−√)x][−1+(−1+−3−−−√)x]=[1−(−1−−3−−−√)x][1−(−1+−3−−−√)x] as written in the lecture note.
Note that here we've used the fact that (−1+−3−−−√)(−1−−3−−−√)=4.
(Thus −1+−3√4=1−1−−3√
And
−1−−3√4=1−1+−3√)
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