Question

Выполните умножение: А) x²-xy/y*y²/x
Б) 3а/b²*ab+b²/9
B) m-n/mn*2mn/mn-m²
Г) 4аb/cx+dx*ax+bx/2ab
Д) ma-mb/3n²*2m/nb-na
E) ax-ay/5x²y²*(-5xy/by-bx).

Answer 1

Объяснение:

А) $\frac{x^2-xy}{y}*\frac{y^2}{x} =\frac{x(x-y)*y}{x} =(x-y)*y=xy-y^2$

Б) $\frac{3a}{b^2}*\frac{ab+b^2}{9} =\frac{3ab(a+b)}{9b^2} =\frac{a(a+b)}{3b}$

В) $\frac{m-n}{mn}*\frac{2mn}{mn-m^2} =\frac{2(m-n)}{m(n-m)} =-\frac{2(m-n)}{m(m-n)} =-\frac{2}{m}$

Г) $\frac{4ab}{cx+dx}*\frac{ax+bx}{2ab} =\frac{2x(a+b)}{x(c+d)} =\frac{2(a+b)}{c+d}$

Д) $\frac{ma-mb}{3n^2} *\frac{2m}{nb-na} =\frac{m(a-b)}{3n^2}*\frac{2m}{n(b-a)} =-\frac{m}{3n^2}*\frac{2m}{n} =-\frac{2m^2}{3n^3}$

Е) $\frac{ax-ay}{5x^2y^2} *(-\frac{5xy}{by-bx} )=\frac{a(x-y)}{5x^2y^2}*\frac{5xy}{b(x-y)} =\frac{axy}{bx^2y^2} =\frac{a}{bxy}$