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)
$\frac{\sqrt{8 } \times \sqrt{6} }{\sqrt{24} } = \frac{ \sqrt{8 \times 6} }{ \sqrt{24} } = \sqrt{ \frac{48}{24} } = \sqrt{2}$