Question

Решите только примеры с умножением

Answer 1

$frac{( {a}^{2} - 1) }{a - b} times frac{9a - 9b}{ {a}^{2} + a} = frac{(a - 1)(a + 1)}{a - b} times frac{9(a - b)}{a(a + 1)} = frac{9(a - 1)}{a}$
$frac{ {(x + 4)}^{2} }{3x - 9} times frac{ {x}^{2} - 9}{3x + 12} = frac{ {(x + 4)}^{2} }{3(x - 3)} times frac{(x - 3)(x + 3)}{3(x + 4)} = frac{(x + 4)(x + 3)}{9}$
$frac{ {(y - 5)}^{2} }{y} times frac{7 {y}^{2} }{ {y}^{2} - 25} = frac{ {(y - 5)}^{2} }{1} times frac{7y}{(y - 5)(y + 5)} = frac{7y(y - 5)}{y + 5}$
$frac{ {m}^{2} - {n}^{2} }{9m} times frac{3 {m}^{2} }{m - n} = frac{(m - n)(m + n)}{3} times frac{m}{m - n} = frac{m(m + n)}{3}$
$frac{ {x}^{2}y }{25 {y}^{2} - 4 } times frac{15y + 6}{3x {y}^{2} } = frac{x}{(5y - 2)(5y + 2)} times frac{3(5y + 2)}{3y} = frac{3x}{y(5y - 2)}$

$frac{24d{c}^{2} }{9 {p}^{2} - 25} times frac{5 - 3p}{12c {d}^{3} } = frac{2c}{(3p - 5)(3p + 5)} times - frac{( 3p - 5)}{ {d}^{2} } = - frac{2c}{ {d}^{2} (3p + 5)}$