Find each of the following products: (x2 + xy + y2) × (x – y)

1.	Find each of the following products: (x2 + xy + y2) × (x – y)
Answer» By using horizontal method, We have; = (x² + xy + y²) × (x - y) = x(x² + xy + y²) - y(x² + xy + y²) = x³+ x²y + xy² - x²y – xy² - y³ By arranging the expression in the form of descending powers of x, We get; = (x³ - y³)

Answer»

By using horizontal method,

We have;

= (x² + xy + y²) × (x - y)

= x(x² + xy + y²) - y(x² + xy + y²)

= x³+ x²y + xy² - x²y – xy² - y³

By arranging the expression in the form of descending powers of x,

We get;

= (x³ - y³)

Discussion