Выполните умножение:
а) $\frac{x^2 - xy}{y} * \frac{y^2}{x}$;
б) $\frac{3a}{b^2} * \frac{ab + b^2}{9}$;
в) $\frac{m - n}{mn} * \frac{2mn}{mn - m^2}$;
г) $\frac{4ab}{cx + dx} * \frac{ax + bx}{2ab}$;
д) $\frac{ma - mb}{3n^2} * \frac{2m}{nb - na}$;
е) $\frac{ax - ay}{5x^2y^2} * (-\frac{5xy}{by - bx})$.
$\frac{x^2 - xy}{y} * \frac{y^2}{x} = \frac{x(x - y)}{y} * \frac{y^2}{x} = \frac{x - y}{1} * \frac{y}{1} = xy - y^2$
$\frac{3a}{b^2} * \frac{ab + b^2}{9} = \frac{3a}{b^2} * \frac{b(a + b)}{9} = \frac{a}{b} * \frac{a + b}{3} = \frac{a^2 + ab}{3b}$
$\frac{m - n}{mn} * \frac{2mn}{mn - m^2} = \frac{m - n}{mn} * \frac{2mn}{m(n - m)} = \frac{m - n}{1} * \frac{2}{m(n - m)} = -\frac{n - m}{1} * \frac{2}{m(n - m)} = -\frac{1}{1} * \frac{2}{m} = -\frac{2}{m}$
$\frac{4ab}{cx + dx} * \frac{ax + bx}{2ab} = \frac{4ab}{x(c + d)} * \frac{x(a + b)}{2ab} = \frac{2}{c + d} * \frac{a + b}{1} = \frac{2a + 2b}{c + d}$
$\frac{ma - mb}{3n^2} * \frac{2m}{nb - na} = \frac{m(a - b)}{3n^2} * \frac{2m}{n(b - a)} = -\frac{m(b - a)}{3n^2} * \frac{2m}{n(b - a)} = -\frac{m}{3n^2} * \frac{2m}{n} = -\frac{2m^2}{3n^3}$
$\frac{ax - ay}{5x^2y^2} * (-\frac{5xy}{by - bx}) = \frac{a(x - y)}{5x^2y^2} * \frac{5xy}{b(x - y)} = \frac{a}{xy} * \frac{1}{b} = \frac{a}{bxy}$
Пожауйста, оцените решение
