Question

Докажите тождество 3 n ( 3 m − 2 n ) + 6 m 2 = ( 6 m − 3 n ) ( 2 n + m ) .

Answer 1

The answer is 0

Explanation:

3n(3m-2n) + 6m^2= (6m-3n)(2n+m)

By expansion

9mn - 6n^2 + 6m^2 = 12mn + 6m^2 -6n^2 - 3mn

By collecting like terms

9mn - 12mn + 3mn - 6n^2 + 6n^2 + 6m^2 - 6 m^2 = 0

-3mn + 3mn=0

Therefore the simplification of the expansion gives us 0