在线求助完全平方公式因式分解(1)-a²-1+2a(2)2x²y-x²-xy²(3)4x²-20x+25(4)(x²+1)²-4x²(5)(2x-y)²-2(2x-y)+1(6)(x+y)²-2(x²-y²)+(x-y)²

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在线求助完全平方公式因式分解(1)-a²-1+2a(2)2x²y-x²-xy²(3)4x²-20x+25(4)(x²+1)²-4x²(5)(2x-y)²-2(2x-y)+1(6)(x+y)²-2(x²-y²)+(x-y)²

在线求助完全平方公式因式分解(1)-a²-1+2a(2)2x²y-x²-xy²(3)4x²-20x+25(4)(x²+1)²-4x²(5)(2x-y)²-2(2x-y)+1(6)(x+y)²-2(x²-y²)+(x-y)²
在线求助完全平方公式因式分解
(1)-a²-1+2a
(2)2x²y-x²-xy²
(3)4x²-20x+25
(4)(x²+1)²-4x²
(5)(2x-y)²-2(2x-y)+1
(6)(x+y)²-2(x²-y²)+(x-y)²

在线求助完全平方公式因式分解(1)-a²-1+2a(2)2x²y-x²-xy²(3)4x²-20x+25(4)(x²+1)²-4x²(5)(2x-y)²-2(2x-y)+1(6)(x+y)²-2(x²-y²)+(x-y)²
(1)-a²-1+2a
=-(a^2-2a+1)
=-(a-1)^2
(2)2x²y-x²-xy²
=-x(x-2xy+y^2)
(3)4x²-20x+25
=(2x-5)^2
(4)(x²+1)²-4x²
=(x^2+1+2x)(x^2+1-2x)
=(x+1)^2(x-1)^2
(5)(2x-y)²-2(2x-y)+1
=(2x-y-1)^2
(6)(x+y)²-2(x²-y²)+(x-y)²
=(x+y)^2-2(x+y)(x-y)+(x-y)^2
=(x+y-x+y)^2
=4y^2