【(x+2y)方-(x+y)(3x-y)-5y方】除以2x

问题描述:

【(x+2y)方-(x+y)(3x-y)-5y方】除以2x

原式=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+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!

[(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