Question

把下列格式分解因式： 1.（x-y)^3-(y-X)^2 2.a^4-a^3-a^2 3.-7x^3y^2-21x^2y^3

4.-4a^3b^4+12a62b^5-16ab^6
上面的看不清看这个：（1）（x-y)^3-(y-X)^2 （2）a^4-a^3-a^2 （3）-7x^3y^2-21x^2y^3 （4） -4a^3b^4+12a62b^5-16ab^6

Answer 1

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

2.a^4-a^3-a^2
=a²(a²-a-1)

3.-7x^3y^2-21x^2y^3
=-7x²y²(x+3y)

4.-4a^3b^4+12a62b^5-16ab^6
=-4ab(a²b³-3ab^4+4b^5)

Answer 2

（x-y)^3-(y-X)^2
=(x-y)^3-(x-y)^2
=(x-y)^2(x-y-1)

a^4-a^3-a^2
=a^2(a^2-a-1)

-7x^3y^2-21x^2y^3
=-7x^2y^2(x+3y)

-4a^3b^4+12a^2b^5-16ab^6
=-4ab^4(a^2-3ab+4b^2)