Question

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Answer 1

Пошаговое объяснение:

а)

$\frac{ {x}^{2} - 2x}{y} \times \frac{ {y}^{2} }{x} = x(x - 2) \times \frac{y}{x} = y(x - 2) = yx - 2y$

b)

$\frac{a - b}{ab} \times \frac{3ab}{ab - {b}^{2} } = a - b \times \frac{3}{b(a - b) } = \frac{3}{b}$

c)

$(3x - 15y) \times \frac{4}{ {x}^{2} - 25 {y}^{2} } = 3(x - 5y) \times \frac{4}{(x - 5y)(x + 5y)} = 3 \times \frac{4}{x + 5y} = \frac{12}{x + 5y}$

d)

$\frac{a}{ {a}^{2} - 4 } \times ( {a}^{2} - 4a + 4) = \frac{a}{ {a}^{2} - 4 } \times (a - 2 {)}^{2} = \frac{a}{(a - 2)(a + 2)} \times (a - 2 {)}^{2} = \frac{ {a}^{2} - 2a }{a + 2}$

e)

$\frac{ {c}^{2} - 16}{15bc} \times \frac{5d}{c + 4} = \frac{(c - 4)(c + 4)}{3c} \times \frac{1}{c + 4} = \frac{c - 4}{3c}$