急!因式分解几道题目,x²＋xy-6y² （x²＋x）²—8（x²＋x）＋12 12x²-5x-2还有2题2ax-10ay＋5by-bxx三次方减3x²＋4

急!因式分解几道题目,x²＋xy-6y² （x²＋x）²—8（x²＋x）＋12 12x²-5x-2还有2题2ax-10ay＋5by-bxx三次方减3x²＋4
急!因式分解几道题目,x²＋xy-6y² （x²＋x）²—8（x²＋x）＋12 12x²-5x-2
还有2题
2ax-10ay＋5by-bx
x三次方减3x²＋4

急!因式分解几道题目,x²＋xy-6y² （x²＋x）²—8（x²＋x）＋12 12x²-5x-2还有2题2ax-10ay＋5by-bxx三次方减3x²＋4
(1)x²+xy-6y²
＝(x²-2xy)+(3xy-6y²)
＝x(x-2y)+3y(x-2y)
＝(x-2y)(x+3y)
(2)(x²+x)²-8(x²+x)+12
＝[(x²+x)-2(x²+x)]-[6(x²+x)-12]
＝(x²+x)(x²+x-2)-6(x²+x-2)
＝(x²+x-2)(x²+x-6)
＝(x-1)(x+2)(x-2)(x+3)
(3)12x²-5x-2
＝(12x²+3x)-(8x+2)
＝3x(4x+1)-2(4x+1)
＝(4x+1)(3x-2)
(4)2ax-10ay+5by-bx
＝2a(x-5y)-b(x-5y)
＝(x-5y)(2a-b)
(5)x³-3x²+4
＝(x³+x²)-(4x²+4x)+(4x+4)
＝x²(x+1)-4x(x+1)+4(x+1)
＝(x+1)(x²-4x+4)
＝(x+1)(x-2)².