將下列各式通分:(1)1/a,3/4a²;b,1/6ab²;c;(2)1/2x-2,1/(x-1)²;

將下列各式通分:(1)1/a,3/4a²;b,1/6ab²;c;(2)1/2x-2,1/(x-1)²;


(1)1/a,3/4a²;b,1/6ab²;c通分:(12b²;c+9bc+2a)/12a²;b²;c(2)1/2x-2,1/(x-1)²;通分:[(x-1)²;+(2x-2)]/(2x-2)(x-1)²;=(x²;-1)/2(x-1)(x-1)²;=(x+1)(x-1)/2(x-1)(x-1)&#…



ab/(a+b)^2與b/a^2-b^2 x/xy-y^2與y/x^2-xy通分


ab/(a+b)^2=ab(a-b)/(a+b)²;(a-b)
b/a^2-b^2=b(a+b)/(a+b)²;(a-b)
x/xy-y^2=x²;/xy(x-y)
y/x^2-xy =y²;/xy(x-y)



將1/x和1/y通分原式=(1/x)(y/y)+(1/y)(x/x)=y/xy+x/xy=(x+y)/xy其中=(1/x)(y/y)+(1/y)(x/x)是為什麼?


上下同乘,給個例子吧6分之1=6分之1乘以1=6分之1乘以6分之6,因為六分之六=1



通分:(1)x/x^2+2x+1,(2)x-1/x^2+x,(3)1/x^2-1


x/(x^2+2x+1)
=x/(x+1)^2
=x^2(x-1)/[x(x+1)^2(x-1)]
=(x^3-x^2)/[x(x+1)^2(x-1)]
(x-1)/(x^2+x)
=(x-1)/[x(x+1)]
=(x-1)^2(x+1)//[x(x+1)^2(x-1)]
=(x^3-x^2-x+1)/[x(x+1)^2(x-1)]
1/(x^2-1)
=1/[(x+1)(x-1)]
=x(x+1)/[x(x+1)^2(x-1)]
=(x^2+x)/[x(x+1)^2(x-1)]