Factor 9x^2-25y^2

Problem

9*x2−25*y2

Solution

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

2. Determine the square roots of each term to find a and b

3. Rewrite the first term as (3*x)2 so a=3*x

4. Rewrite the second term as (5*y)2 so b=5*y

5. Apply the formula for the difference of squares: a2−b2=(a−b)*(a+b)

6. Substitute the values of a and b into the formula.

Final Answer

9*x2−25*y2=(3*x−5*y)*(3*x+5*y)

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