把下列多项式因式分解:(1)4x²-20xy+25y²(2)9-12(x-y)+4(x-y)²
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把下列多项式因式分解:(1)4x²-20xy+25y²(2)9-12(x-y)+4(x-y)²
把下列多项式因式分解:
(1)4x²-20xy+25y²
(2)9-12(x-y)+4(x-y)²
把下列多项式因式分解:(1)4x²-20xy+25y²(2)9-12(x-y)+4(x-y)²
(1)
4x²-20xy+25y²
=(2x)²-2*2x*5y+(5y)²
=(2x-5y)²
(2)
9-12(x-y)+4(x-y)²
=3²-2*3*2(x-y)+[2(x-y)]²
=(3-2x-2y)²
=(2x+2y-3)²
(1)4x²-20xy+25y²
=(2x)²-2*2x*5y+(5y)²
=(2x-5y)²
(2)9-12(x-y)+4(x-y)²
=[2(x-y)]²-2*[2(x-y)]*3+3²
=(2x-2y+3)²
1、原式=(2x)²-2*(2x)*(5y)+(5y)²=(2x-5y)²
2、原式=【2(x-y)】²-2*【2(x-y)】*3+3²
=(2x-2y+3)²
4x²-20xy+25y²=(2x-5y)²
9-12(x-y)+4(x-y)²=(3-2x+2y)²
(1) (2x-5y)^2
(2) [2(x-y)-3]^2
(1)=(2x-5)²
(2)=(2(x-y)+3)²
1.(2x-5y)^2
2.[3-2(x-y)]^2