SHOW THAT: [4/3m-3/4n]2 +2mn=16/9m2+9/16n2

Asked by surendra.suri | 20th Jul, 2020, 12:53: PM

Expert Answer:

begin mathsize 16px style straight L. straight H. straight S space equals space open parentheses 4 over 3 straight m space minus space 3 over 4 straight n close parentheses squared plus space 2 mn space
space space space space space space space space space space space space equals space 16 over 9 straight m squared plus space 9 over 16 straight n squared minus space 2 open parentheses 4 over 3 straight m close parentheses open parentheses 3 over 4 straight n close parentheses plus space 2 mn space space space.... left parenthesis straight a space minus space straight b right parenthesis squared equals space straight a to the power of 2 end exponent plus straight b squared minus 2 ab
space space space space space space space space space space space space equals 16 over 9 straight m squared plus space 9 over 16 straight n squared minus 2 mn space plus space 2 mn
space space space space space space space space space space space space equals 16 over 9 straight m squared plus space 9 over 16 straight n squared
space space space space space space space space space space space space equals space straight R. straight H. straight S
end style

Answered by Yasmeen Khan | 21st Jul, 2020, 05:19: PM