Question

Спростіть віраз:(x+x/y):(x-x/y)

Answer 1

$frac{x+ frac{x}{y} }{x- frac{x}{y} } \ \ 1)x+ frac{x}{y} = frac{xy+x}{y}= frac{x(y+1)}{y} \ \ 2)x- frac{x}{y} = frac{xy-x}{y} = frac{x(y-1)}{y} \ \ 3) frac{x(y+1)}{y} : frac{x(y-1)}{y} = frac{x(y+1)}{y} * frac{y}{x(y-1)} = frac{y+1}{y-1}$

Answer 2

1)x+x/y=(xy+x)/y=x(y+1)/y
2)x-x/y=(xy-x)/y=x(y-1)/y
3)x(y+1)/y :x(y-1)/y =x(y+1)/y *y/x(y-1)=(y+1)/(y-1)