Factorise: x^2+1/x^2+2-2x-2/x

Asked by aahnik.mohanty | 25th Dec, 2017, 09:54: AM

Expert Answer:

begin mathsize 16px style straight x squared plus 1 over straight x squared plus 2 minus 2 straight x minus 2 over straight x
equals open parentheses straight x squared plus 1 over straight x squared plus 2 close parentheses minus 2 open parentheses straight x plus 1 over straight x close parentheses
equals open parentheses straight x plus 1 over straight x close parentheses squared minus 2 open parentheses straight x plus 1 over straight x close parentheses
equals open parentheses straight x plus 1 over straight x close parentheses open parentheses straight x plus 1 over straight x close parentheses minus 2 open parentheses straight x plus 1 over straight x close parentheses
equals open parentheses straight x plus 1 over straight x close parentheses open parentheses straight x plus 1 over straight x minus 2 close parentheses end style

Answered by Rashmi Khot | 25th Dec, 2017, 02:07: PM