Factor 25x^2-16y^2

Problem

25*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 root of the first term, 25*x^2 which is 5*x

3. Determine the square root of the second term, 16*y^2 which is 4*y

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

Final Answer

25*x^2−16*y^2=(5*x−4*y)*(5*x+4*y)

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