Squaring Binomials (6m-4/5n)^2

Question

I need help solving this question in my textbook. (6m-4/5n)² . My text book says the answer is 36m²+48/5mn+16/25n² . I need a step by step of how to get the answer though. Thanks!

Answer 1

Use FOIL

 

First 6m*6m = +36m²

Outside 6m*4/5n = -(24/5)mn

Inside same  = -(24/5)mn

Last = 4/5n times 4/5n = 16/25 n^{^2}

 

So it's 36m^{2 - 48/5 mn +16/25N^2}