Factor 9x^2-16y^2

Problem

9*x^2−16*y^2

Solution

1. Identify the expression as a difference of two squares, which follows the pattern a^2−b^2

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

3. Rewrite the first term as a square: 9*x^2=(3*x)^2

4. Rewrite the second term as a square: 16*y^2=(4*y)^2

5. Apply the formula for the difference of squares, a^2−b^2=(a−b)*(a+b) where a=3*x and b=4*y

Final Answer

9*x^2−16*y^2=(3*x−4*y)*(3*x+4*y)

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