Question

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

Answer 1

Answer:

5/y-5

Step-by-step explanation:

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

Answer 2

Answer:

The value of $\frac{\left(\frac{y}{5}\right)+1}{\left(\frac{y^{2}}{25}\right)-1}=\frac{5}{y-5}$

Solution:

As given, $\frac{\left(\frac{y}{5}\right)+1}{\left(\frac{y^{2}}{25}\right)-1}$

$\frac{\left(\frac{y}{5}\right)+1}{\left(\frac{y}{5}\right)^{2}-1^{2}}$

$\frac{\frac{y}{5}+1}{\left(\frac{y}{5}+1\right) \times\left(\frac{y}{5}-1\right)}$

as we know $\left(a^{2}-b^{2}\right)=(a+b)\times(a-b)$

This can be written as,

$\Rightarrow \frac{\frac{y}{5}+1}{\frac{y}{5}+1} \times \frac{1}{\frac{y}{5}-1}$

Because $\Rightarrow \frac{\frac{y}{5}+1}{\frac{y}{5}+1}=1$

$\Rightarrow 1 \times \frac{1}{\frac{y}{5}-1} = \frac{5}{y-5}$