How to factorise
 
x^2 + 1/x^2 -11

Asked by tejvarun | 13th Mar, 2017, 11:02: AM

Expert Answer:

begin mathsize 16px style straight x squared space plus space fraction numerator 1 over denominator straight x squared space end fraction minus 11
Add space and space subtract space the space term equals 2 comma space so space that space we space can space use space the space formula space left square bracket left parenthesis straight a plus straight b right parenthesis squared equals straight a squared plus 2 ab plus straight b squared right square bracket
straight x squared space plus space fraction numerator 1 over denominator straight x squared space end fraction minus 11 equals straight x squared space plus space fraction numerator 1 over denominator straight x squared space end fraction plus 2 minus 2 minus 11
space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets straight x squared space plus space fraction numerator 1 over denominator straight x squared space end fraction plus 2 close square brackets minus 2 minus 11
space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses straight x space plus space fraction numerator 1 over denominator straight x space end fraction close parentheses squared minus 13 space space..... space left square bracket Using space left parenthesis straight a plus straight b right parenthesis squared equals straight a squared plus 2 ab plus straight b squared right square bracket
space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses straight x space plus space fraction numerator 1 over denominator straight x space end fraction close parentheses squared minus open parentheses square root of 13 close parentheses squared
space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses straight x space plus space fraction numerator 1 over denominator straight x space end fraction plus square root of 13 close parentheses open parentheses straight x space plus space fraction numerator 1 over denominator straight x space end fraction minus square root of 13 close parentheses space space..... space left square bracket Using space straight a squared minus straight b squared equals left parenthesis straight a plus straight b right parenthesis left parenthesis straight a minus straight b right parenthesis right square bracket end style

Answered by Rebecca Fernandes | 13th Mar, 2017, 11:58: AM