x^2+y^2+4z^2+2xy-4yz-4xzdivide by(x+y-2z)

 

Asked by sureshlathia | 7th Aug, 2019, 08:22: PM

Expert Answer:

begin mathsize 16px style fraction numerator straight x squared plus straight y squared plus 4 straight z squared plus 2 xy minus 4 yz minus 4 xz over denominator straight x plus straight y minus 2 straight z end fraction end style
begin mathsize 16px style equals fraction numerator open parentheses straight x plus straight y minus 2 straight z close parentheses squared over denominator straight x plus straight y minus 2 straight z end fraction space space space space space space space space space space space because open parentheses straight x plus straight y minus straight z close parentheses squared equals straight x squared plus straight y squared plus straight z squared plus 2 xy minus 2 yz minus 2 zx end style
= x + y - 2z

Answered by Sneha shidid | 9th Aug, 2019, 09:54: AM