Factorise X2 + x/4 - 1/8

Asked by Vanishree | 17th Sep, 2014, 11:02: AM

Expert Answer:

x squared plus x over 4 minus 1 over 8 equals fraction numerator 8 x squared plus 2 x minus 1 over denominator 8 end fraction equals fraction numerator 8 x squared plus 4 x minus 2 x minus 1 over denominator 8 end fraction equals fraction numerator 4 x left parenthesis 2 x plus 1 right parenthesis minus 1 left parenthesis 2 x plus 1 right parenthesis over denominator 8 end fraction equals fraction numerator left parenthesis 2 x plus 1 right parenthesis left parenthesis 4 x minus 1 right parenthesis over denominator 8 end fraction equals fraction numerator left parenthesis 2 x plus 1 right parenthesis over denominator 2 end fraction fraction numerator left parenthesis 4 x minus 1 right parenthesis over denominator 4 end fraction equals open parentheses x plus 1 half close parentheses open parentheses x minus 1 fourth close parentheses

Answered by Prasenjit Paul | 17th Sep, 2014, 11:27: AM