Factor 4x^2-y^2

Problem

4*x^2−y^2

Solution

1. Identify the expression as a difference of two squares, which follows the general form a^2−b^2=(a−b)*(a+b)

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

3. Express the first term 4*x^2 as (2*x)^2 and the second term y^2 as (y)^2

4. Apply the formula by substituting a=2*x and b=y into the factored form (a−b)*(a+b)

Final Answer

4*x^2−y^2=(2*x−y)*(2*x+y)

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