Simplify (x+y)(x-y)

Problem

(x+y)*(x−y)

Solution

1. Identify the expression as a product of two binomials in the form (a+b)*(a−b) which represents the difference of squares.

2. Distribute the terms using the FOIL method (First, Outer, Inner, Last).

x(x)+x*(−y)+y(x)+y*(−y)

3. Multiply the individual terms.

x2−x*y+x*y−y2

4. Combine the like terms −x*y and +x*y which sum to zero.

x2−y2

Final Answer

(x+y)*(x−y)=x2−y2

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