Factorize 4x square - 4 x + 1 – InterviewSolution

1.	Factorize 4x square - 4 x + 1
Answer» <html><body><p>4x2+4x+1 =4x2+<a href="https://interviewquestions.tuteehub.com/tag/2x-301182" style="font-weight:bold;" target="_blank" title="Click to know more about 2X">2X</a>+2x+1, (split <a href="https://interviewquestions.tuteehub.com/tag/middle-1096062" style="font-weight:bold;" target="_blank" title="Click to know more about MIDDLE">MIDDLE</a> term so that <a href="https://interviewquestions.tuteehub.com/tag/resultant-1187362" style="font-weight:bold;" target="_blank" title="Click to know more about RESULTANT">RESULTANT</a> is same) =(4x2+2x)+(2x+1), (group <a href="https://interviewquestions.tuteehub.com/tag/pair-1145723" style="font-weight:bold;" target="_blank" title="Click to know more about PAIR">PAIR</a> of terms) =2x(2x+1)+1(2x+1), (factor each <a href="https://interviewquestions.tuteehub.com/tag/binomials-897770" style="font-weight:bold;" target="_blank" title="Click to know more about BINOMIALS">BINOMIALS</a>) =(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</p></body></html>

Discussion