Question

Допоможіть будь ласка! Спростіть вираз:
х - 3  -  3 - y
xy- x^2  xy - y^2

Answer 1

$frac{x-3}{xy- x^{2} } - frac{3-y}{xy-y^2}= frac{x-3}{xy- x^{2} } + frac{3-y}{-(xy-y^2)}= frac{x-3}{xy- x^{2} } + frac{3-y}{y^2-xy}=\ = frac{x-3}{x(y- x)} } + frac{3-y}{y(y-x)}=frac{y(x-3)+x(3-y)}{xy(y- x)} }=frac{xy-3y+3x-xy}{xy(y- x)} }=frac{-3y+3x}{xy(y- x)} }= \ frac{-3(y-x)}{xy(y- x)} }= frac{-3}{xy} =- frac{3}{xy}$