Question

x+y=29, then find (a/x-a)+(a/y-a)

Answer 1

Answer:

Step-by-step explanation:

X + Y = 29

X = 29 - Y ......(1)

Putting the value in equation

(a /x- a) + (a/ y-a) = 0

a¹⁻¹ /x  + a¹⁻¹ / y =0

a ⁰ /x  + a⁰ /y =0

a⁰ = 1

1/ x + 1/y = 0

Putting the value os equation 1

1 / 29-y + 1/y = 0

y+ 29 -y / 29-y =0

29 / 29-y =0

29 = 29-y

29-29 = -y

0 =-y

So,  the  value of equation is 0

Answer 2

Answer:

Step-by-step explanation:

Given:

x + y = 29

$\frac{a}{x-a}+\frac{a}{y-a}\\\\=a[\frac{1}{x-a}+\frac{1}{y-a}]\\\\=a[\frac{y-a+x-a}{(x-a)(y-a)}]\\\\=a[\frac{x+y-2a}{(a-x)(a-y)}]\\\\=a[\frac{29-2a}{a^2-(x+y)a+xy}]\\\\=a[\frac{29-2a}{a^2-29a+xy}]$