Question

因式分解

1:a^2b-5ab+9b
2:(x-2)^2+4(2-x)
3.x(x-y)^2-y(y-x)^2
4.2(x-y)(x-4y)+(x-4y)^2

Answer 1

1:a^2b-5ab+9b=b(a²-5a+9)

2:(x-2)^2+4(2-x)=(x-2)(x-2+4)=(x-2)(x+2)

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

=(x-y)²(x-y)=(x-y)^3
4.2(x-y)(x-4y)+(x-4y)^2=(x-4y)(2(x-y)+(x-4y))=(x-4y)(3x-6y)=3(x-4y)(x-2y)

Answer 2

2、=（x-2)(x-2-4)=(x-2)(x-6)
3、=(x-y)^2(x+y)
4、=(x-4y)(2x-2y+x-4y)=3(x-4y)(x-2y)

Answer 3

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Answer 4