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

Question

(x+y)(xy)= (x+y)(x-y)=

Video Solution

Step-by-Step Solution

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)(xy)(x+y)(x-y), which resembles the difference of squares. Step 2: Using the formula for the difference of squares, (a+b)(ab)=a2b2(a+b)(a-b) = a^2 - b^2, we set a=xa = x and b=yb = y. Step 3: Applying the formula, we have:

(x+y)(xy)=x2y2(x+y)(x-y) = x^2 - y^2.

Therefore, the solution to the problem is x2y2 x^2-y^2 .

Answer

x2y2 x^2-y^2