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Simplify the expression.

(1+(x)/(y) )((4y^(2) )/(x^(2) -y^(2) ) )

2 Answers

4 votes
Here is the answer!!
Simplify the expression. (1+(x)/(y) )((4y^(2) )/(x^(2) -y^(2) ) )-example-1
User Jendas
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6.6k points
6 votes

Answer:

4y / x-y

Explanation:

First change 1 to y/y. This allows us to rewrite the first term as a single fraction.

We can also factor the denominator of the second term.

x^2 - y^2 factors into (x - y)(x + y)

The y cancels and also the term x+y cancels. See image.

Simplify the expression. (1+(x)/(y) )((4y^(2) )/(x^(2) -y^(2) ) )-example-1
User Hoki
by
7.2k points