Question

Y/5 + 1 divided by y^2/25-1=

Answer 1

5/y-5

Explanation:

y/5+1/y^2/25-1=1/y/5-1

Answer 2

The value of
`(\left((y)/(5)\right)+1)/(\left((y^(2))/(25)\right)-1)=(5)/(y-5)`

Solution:

As given,
`(\left((y)/(5)\right)+1)/(\left((y^(2))/(25)\right)-1)`

`(\left((y)/(5)\right)+1)/(\left((y)/(5)\right)^(2)-1^(2))`

`((y)/(5)+1)/(\left((y)/(5)+1\right) *\left((y)/(5)-1\right))`

as we know
`\left(a^(2)-b^(2)\right)=(a+b)*(a-b)`

This can be written as,

`\Rightarrow ((y)/(5)+1)/((y)/(5)+1) * (1)/((y)/(5)-1)`

Because
`\Rightarrow ((y)/(5)+1)/((y)/(5)+1)=1`

`\Rightarrow 1 * (1)/((y)/(5)-1) = (5)/(y-5)`