Question

Помогите решить пожайлуста!!
1)2х³-3x²y-4x+6y
2)x²y-x+xy²-y
3)am²-an-bm²+cn-cm²+bn

Answer 1

Ответ:

$2 {x}^{3} - 3 {x}^{2} y - 4x + 6y = 2 {x}^{3} - 4x - 3 {x}^{2} y + 6y = 2x( {x}^{2} - 2) - 3y( {x}^{2} - 2) = (2x - 3y)( {x}^{2} - 2)$

${x}^{2} y - x + x {y}^{2} - y = x(xy - 1) + y(xy - 1) = (x + y)(xy - 1)$

$a {m}^{2} - an - b {m}^{2} + cn - c {m}^{2} + bn = a {m}^{2} - an - b {m}^{2} + bn - c {m}^{2} + cn = a( {m}^{2} - n) - b({m}^{2} - n) - c({m}^{2} - n) = (a - b - c)({m}^{2} - n)$