2x方+(4y-7)x+2y方-7y+3(因式分解)

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2x方+(4y-7)x+2y方-7y+3(因式分解)
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2x方+(4y-7)x+2y方-7y+3(因式分解)
2x方+(4y-7)x+2y方-7y+3(因式分解)

2x方+(4y-7)x+2y方-7y+3(因式分解)
2x²+(4y-7)x+2y²-7y+3
=2x²+4xy+2y²-7x-7y+3
=2(x²+2xy+y²)-7(x+y)+3
=2(x+y)²-7(x+y)+3
=[2(x+y)-1][(x+y)-3]
=(2x+2y-1)(x+y-3)