一、约分
问题描述:
一、约分
(1)5x/25x² (2)9a²+6ab+b²/3a+b
二、通分
(1) x/3y 与 3x/2y² (2)6c/a²b 与 c/3ab²
(2)x-y/2x+2y (4)2mn/4m²-9 与 2m-3/2m+3
(2)x-y/2x+2y 与 xy/(x+y)²
答
一、约分
(1)5x/25x² =1/5x
(2)9a²+6ab+b²/3a+b=(3a+b)²/(3a+b)=3a+b
二、通分
(1) x/3y 与 3x/2y²
最简公分母是6y²
x/3y =2xy/6y²
3x/2y² =9x/6y²
(2)6c/a²b 与 c/3ab²
最简公分母是3a²b²
6c/a²b =18bc/3a²b²
c/3ab²=ac/3a²b²
(2)x-y/2x+2y
最简公分母是
(4)2mn/4m²-9 与 2m-3/2m+3
最简公分母是(2m-3)(2m+3)
2mn/4m²-9 =2mn/(2m-3)(2m+3)
2m-3/2m+3=(2m-3)²/(2m-3)(2m+3)x-y/2x+2y 与 xy/(x+y)² 弄错了。最简公分母是2(x+y)²x-y/2x+2y =(x-y)(x+y)/2(x+y)² xy/(x+y)²=2xy/2(x+y)²