Question

Show that (4m-3n)^2+2mn=16m^2+9n^2
3 4 9 16

Answer 1

Step-by-step explanation:

(4m/3 - 3n/4)² + 2mn = 16m²/9 + 9n²/16

(Left hand side)L.H.S (4m/3-3n/4)² + 2mn

= (4m/3)² + (3n/4)² – 2mn + 2mn =

= (4m/3)² + (3n/4)²

16/9m² + 9/16n² = R.H.S( Right hand side)

So, Hence proved.