几道因式分解 求帮忙 在线等。。。。。。。。。。

Question

1 2x^2-4x
2 (x^2+y)^2-4x^2y^2
就这么多先 麻烦过程写详细点 在线等会

Answer 1

2x^2-4x
＝2x(x-2)

(x^2+y^2)^2-4x^2y^2 平方差公式
=(x^2+2xy+y^2)(x^2-2xy+y^2)
=(x+y)^2 (x-y)^2

Answer 2

1 2x^2-4x
=2x(x-2)

2 (x^2+y)^2-4x^2y^2
=(x^2+y^2-2xy)(x^2+y^2+2xy)
=(x-y)^2*(x+y)^2

Answer 3

1 2x^2-4x
=2x(x-2)
2 (x^2+y)^2-4x^2y^2
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²

Answer 4

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

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

Answer 5

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