Factorize 4x square - 4 x + 1 – InterviewSolution

1.	Factorize 4x square - 4 x + 1
Answer» 4x2+4x+1 =4x2+2X+2x+1, (split MIDDLE term so that RESULTANT is same) =(4x2+2x)+(2x+1), (group PAIR of terms) =2x(2x+1)+1(2x+1), (factor each BINOMIALS) =(2x+1)(2x+1), (factor out common factor (2x+1)) =(2x+1)2Aliter, use (a+b2)=a2+2ab+b2⇒4x2+4x+1=(2x)2+2×2x+12=(2x+1)2

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