Question

Упростите выражение (3m-2n)²-(2n+3m)²

Answer 1

$(3m-2n)^{2}-(2n+3m)^{2} = \\ = (3m)^{2} -2*3m*2n+ (2n)^{2} - ((2n)^{2}+2*2n*3m+ (3m)^{2}) = \\ = 9m^{2} - 12mn+ 4n^{2} - ( 4n^{2}+12mn+ 9m^{2} )= \\ =9m^{2} -12mn+4n^{2} - 4n^{2}-12mn- 9m^{2}=-12mn-12mn= \\ =-24mn$