Question

rezolvati
$\frac{xy+ y^{2} }{a-3b} : \frac{ x^{2} -y}{2a-6b}$

Answer 1

dam factor comun y la primul numarator si 2 la al doilea.
la al doilea numitor, descompunem diferenta de patrate in produs de suma prin diferenta
iar impartirea a doua fractii este inmultirea primei fractii acu a doua inversata

y(x+y)/(a-3b) * 2(a-3b)/(x-y)(x+y)

simplificam si obtinem 4*2/(x-y)=8/(x-y)

O seara frumoasa!

Answer 2

 [tex]...=\frac{y(x+y)}{a\not-3b}\;\cdot\;\frac{2(a\not-3b)}{x^2-y}=\frac{y(x+y)}{x^2-y}\\ \\ dac\u{a}\;in\; loc\; de\;x^2-y\;\;avem\;\; x^2-y^2\;\;atunci\,,\\descompunem\;pe\;\;x^2-y^2=(x-y)(x+y)\;si\;dupa\;simplificare\;cu\\ (x+y)\;\;obtinem:\;\;\frac{y}{x-y} \;\; ...[/tex]

apasa tasta F5 !