Question

Упростить: (x-2y)(2x+4y)-(x+2y)(2y-4x) (если можно подробно)

Answer 1

$(x-2y)(2x+4y)-(x+2y)(2y-4x)$

$2x {}^{2} + 4xy - 4xy - 8y {}^{2} - (2xy - 4x {}^{2} + 4y {}^{2} - 8xy)$

$2x {}^{2} - 8y {}^{2} - ( - 6xy - 4x {}^{2} + 4y {}^{2} )$

$2x {}^{2} - 8y {}^{2} + 6xy - 4x {}^{2} + 4y {}^{2}$

$6x {}^{2} - 12y {}^{2} + 6xy$