Factor 9y^2-25

Problem

9*y2−25

Solution

1. Identify the expression as a difference of two squares, which follows the general form a2−b2

2. Determine the square root of the first term, 9*y2 which is 3*y

3. Determine the square root of the second term, 25 which is 5

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) substituting a=3*y and b=5

Final Answer

9*y2−25=(3*y−5)*(3*y+5)

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