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 + y

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

We get; 

= (x3 + y3)



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