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

Problem

(x2)/(y2)+(y2)/(y2)

Solution

1. Identify the common denominator for the two fractions, which is y2

2. Combine the numerators over the shared denominator.

(x2+y2)/(y2)

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

(y2)/(y2)=1

4. Rewrite the expression in its simplest form.

(x2)/(y2)+1

Final Answer

(x2)/(y2)+(y2)/(y2)=(x2+y2)/(y2)

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