Question

упростить..............

Answer 1

а)
$frac{ {a}^{2} - {b}^{2} }{5 {a}^{2} } times frac{a}{3a + 3b} = frac{(a - b)(a + b)}{5a} times frac{1}{3(a + b)} = frac{(a - b)}{5a} times frac{1}{3} = frac{a - b}{15a}$
б)
$frac{x + a}{a} div frac{ax + {x}^{2} }{ {a}^{2} } = frac{x + a}{a} times frac{ {a}^{2} }{ax + {x}^{2} } = (x + a) times frac{a}{x(a + x)} = frac{a}{x}$
в)
$frac{ sqrt{15} }{ sqrt{6} times sqrt{10} } = frac{ sqrt{15} }{ sqrt{60} } = frac{1}{ sqrt{4} } = frac{1}{2} = 0.5$