Question

Упростите выражение !

Answer 1

$displaystyle frac{x^2-y^2}{2xy} :frac{3x-3y}{2y}= frac{(x-y)(x+y)}{2xy} cdot frac{2y}{3(x-y)}=frac{x+y}{3x}$

при х =25; у=-4

$displaystyle frac{x+y}{3x} =frac{25+(-4)}{3 cdot 25} =frac{25-4}{3 cdot 25} =frac{21}{3 cdot 25} =frac{7}{25}$

Answer 2

$frac{ {x}^{2} - {y}^{2} }{2xy} div frac{3x - 3y}{2y} = \ = frac{ {x}^{2} - {y}^{2} }{2xy} times frac{2y}{3(x - y)} = \ = frac{(x - y)(x + y)}{2xy} times frac{2y}{3(x - y)} = frac{x + y}{3x} = \ = frac{25 - 4}{3 times 25} = frac{21}{75} = frac{7}{25} = 0.28$