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

Y/5 + 1 divided by y^2/25-1=-example-1
User Jsaye
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2 Answers

3 votes

Answer:

5/y-5

Explanation:

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

User Atams
by
8.1k points
4 votes

Answer:

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)

User Kagmole
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