【(x+2y)方-(x+y)(3x-y)-5y方】除以2x

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【(x+2y)方-(x+y)(3x-y)-5y方】除以2x
【(x+2y)方-(x+y)(3x-y)-5y方】除以2x

【(x+2y)方-(x+y)(3x-y)-5y方】除以2x
[(x+2y)²-(x+y)(3x-y)-5y²] ÷2x
=[x²+4xy+4y²-(3x²+2xy-y²)-5y²] ÷2x
=[x²+4xy+4y²-3x²-2xy+y²-5y²] ÷2x
=[x²-3x²+4xy-2xy+4y²+y²-5y²] ÷2x
=[-2x²+2xy]
=2x(y-x)÷2x
=y-x

[(x+2y)²-(x+y)(3x-y)-5y²] ÷2x
=[x²+4xy+4y²-(3x²+2xy-y²)-5y²] ÷2x
=[x²+4xy+4y²-3x²-2xy+y²-5y²] ÷2x
=[x²-3x²+4xy-2xy+4y&...

全部展开

[(x+2y)²-(x+y)(3x-y)-5y²] ÷2x
=[x²+4xy+4y²-(3x²+2xy-y²)-5y²] ÷2x
=[x²+4xy+4y²-3x²-2xy+y²-5y²] ÷2x
=[x²-3x²+4xy-2xy+4y²+y²-5y²] ÷2x
=[-2x²+2xy]
=2x(y-x)÷2x
=y-x
这题目主要是因式的展开计算,一定要细心。祝你学习更上一层楼!

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原式=y-x