Factor x^2-4y^2

Problem

x2−4*y2

Solution

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

2. Rewrite each term as a perfect square to determine the values of a and b

x2=(x)2

4*y2=(2*y)2

3. Apply the formula for the difference of squares, which states a2−b2=(a−b)*(a+b)

4. Substitute a=x and b=2*y into the formula.

(x)2−(2*y)2=(x−2*y)*(x+2*y)

Final Answer

x2−4*y2=(x−2*y)*(x+2*y)

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