Question

把下列各式因式分解 要有过程

(a-4)b+(4-a)c

a^2c-abd-abc+a^2d

(a+2b)^3-(a-2b)^3

x^4-x^3+x-1

x^3-ax^2-b^2x+ab^2

(a-2b)^2+(a-2b)-12

2(x-y)^2-(x-y)-3

a^6-b^6

(ax+by)^2-(bx+ay)^2

x^2+5xy+6y^2+x+3y

(x+y)^2-4(x+y-1)

Answer 1

1.x(x-y)^2-y(y-x)^2 = (x-y)^2*(x-y)
= (x-y)^3

2.18(a-b)^3-12b(b-a)^2 = (a-b)^2*(18a-18b-12b)
= 6(a-b)^2*(3a-5b)

3.(2a+b)(2a-3b)-3a(2a+b) = (2a+b)(2a-3b-3a)
= -(2a+b)(a+3b)

4.x(x+3)(x-y)-x(x+y)^2 = x(x^2+3x-3y-xy-x^2-2xy-y^2)
= x(3x-3y-3xy-y^2)