x2-4y2分之x-6y x2-2xy分之2y;
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解决时间 2021-11-13 20:24
- 提问者网友：轮囘Li巡影
- 2021-11-13 17:02
x2-4y2分之x-6y x2-2xy分之2y;
最佳答案
- 五星知识达人网友：第四晚心情
- 2021-11-13 18:08
(x-6y)/(x²-4y²) + 2y/(x²-2xy)
=(x-6y)/[(x+2y)(x-2y)] + 2y/[x(x-2y)]
=[x(x-6y)+2y(x+2y)]/[x(x+2y)(x-2y)]
=(x²-6xy+2xy+4y²)/[x(x+2y)(x-2y)]
=(x²+4xy+4y²)/[x(x+2y)(x-2y)]
=(x+2y)²/[x(x+2y)(x-2y)]
=(x+2y)/(x²-2xy)
=(x-6y)/[(x+2y)(x-2y)] + 2y/[x(x-2y)]
=[x(x-6y)+2y(x+2y)]/[x(x+2y)(x-2y)]
=(x²-6xy+2xy+4y²)/[x(x+2y)(x-2y)]
=(x²+4xy+4y²)/[x(x+2y)(x-2y)]
=(x+2y)²/[x(x+2y)(x-2y)]
=(x+2y)/(x²-2xy)
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