Question

Using suitable identity find the product of (x-y)(x+y)(x^2+y^2)

Answer 1

Product is $(x^{4}-y^{4})$.

Step-by-step explanation:

1. We know identity

  (A - B)(A + B) = $(A^{2}-B^{2})$    ... 1)

2. Now from question

   $(x - y)(x + y)(x^{2} + y^{2})$

= $(x^{2} - y^{2})(x^{2} + y^{2})$

= $((x^{2})^{2} - (y^{2})^{2})$

= $(x^{4} - y^{4})$