Question

упростить 3 примера...........

Answer 1

а)
$frac{2x - 2y}{y} times frac{3 {y}^{2} }{ {x ^{2} } - y^{2} } = \ = frac{2(x - y)}{y} times frac{3 {y}^{2} }{( x - y)(x + y) } = \ = frac{2 times 3y}{x + y} = = frac{6y}{x + y}$
б)
$frac{ac - {a}^{2} }{c ^{2} } div frac{c - a}{c} = frac{ a(c - a)}{ {c}^{2} } times frac{c}{c - a} = frac{a}{c}$
в)
$frac{sqrt{8 } times sqrt{6} }{sqrt{24} } = frac{ sqrt{8 times 6} }{ sqrt{24} } = sqrt{ frac{48}{24} } = sqrt{2}$