Solve (x+y)(x-y): Expanding the Difference of Squares Formula

$(x+y)(x-y)=$

To solve this problem, we'll follow these steps:

• Step 1: Identify the structure of the expression
• Step 2: Apply the difference of squares formula
• Step 3: Simplify the expression

Now, let's work through each step:
Step 1: The expression is $(x+y)(x-y)$, which resembles the difference of squares. Step 2: Using the formula for the difference of squares, $(a+b)(a-b) = a^2 - b^2$, we set $a = x$ and $b = y$. Step 3: Applying the formula, we have:

$(x+y)(x-y) = x^2 - y^2$.

Therefore, the solution to the problem is $x^2-y^2$.