Question

Срочно помогите
Разложите на множитиле и провертье умножением .
1)6а^2с-3a^2+2ac^2-ac
2)2x^3-8xy-x^2y+4y^2
3)4ab^2-3b^2+8a^2b-6ab

Answer 1

$1)6a {}^{2} c - 3a {}^{2} + 2ac {}^{2} - ac = a(2c - 1)(3a + c) \\a( 6ac + 2c {}^{2} - 3a ) = 6a {}^{2} c + 2ac {}^{2} - 3a {}^{2} \\ 2)2x {}^{3} - 8xy - x {}^{2} y + 4y {}^{2} = (x {}^{2} - 4y)(2x - y) \\ (x {}^{2} - 4y)(2x - y) = 2x {}^{3} - x {}^{2} y - 8xy + 4y {}^{2} \\ 3)4ab {}^{2} - 3b {}^{2} + 8a {}^{2} b - 6ab = b(4a - 3)(b + 2a) = b(4ab + 8a {}^{2} - 3b - 6a) \\ 4ab {}^{2} + 8a {}^{2} b - 3b {}^{2} - 6ab$