Simplify (x^2)/(y^2)+(y^2)/(y^2)

Problem

(x^2)/(y^2)+(y^2)/(y^2)

Solution

1. Identify the common denominator for the two fractions, which is y^2

2. Combine the numerators over the shared denominator.

(x^2+y^2)/(y^2)

3. Simplify the second term of the original expression, noting that any non-zero value divided by itself is 1.

(y^2)/(y^2)=1

4. Rewrite the expression in its simplest form.

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

Final Answer

(x^2)/(y^2)+(y^2)/(y^2)=(x^2+y^2)/(y^2)

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