Question

Ayudenme porfa, con resolucion!

Answer 1

Respuesta:

0

Explicación paso a paso:

*se sabe:

➧ m²-n²=(m-n)(m+n)

➧ (m+n)²-(m-n)²=4mn

*desarrollando:

(x+2a+y)(x-2a+y)=(x-y)²

(x+y+2a)(x+y-2a)=(x-y)²

        (x+y)²-(2a)²=(x-y)²

       (x+y)²-(x-y)²=(2a)²

                   4xy=4a²

                     xy=a²

Ahora

$M=\frac{(a+x)(a+y)}{x+2a+y}-\frac{a^{3}}{xy}$

$M=\frac{a^{2}+ay+ax+xy}{x+2a+y}-\frac{aa^{2}}{xy}$

$M=\frac{xy+a(x+y)+xy}{x+y+2a}-\frac{axy}{xy}$

$M=\frac{2xy+a(x+y)}{x+y+2a}-a$

$M=\frac{2xy+a(x+y)-a(x+y)-2a^{2}}{x+y+2a}$

$M=\frac{2xy-2a^{2}}{x+y+2a}$

$M=\frac{2xy-2xy}{x+y+2a}$

$M=\frac{0}{x+y+2a}$

$M=0$