Question

find the product (x + y) (x² - xy +y²)​

Answer 1

Answer:

(x + y)(x² -xy + y²)

= x³ -x²y +xy² + x²y -xy² + y³

on cancelling the like terms

we get

x³ +y³.

so , this is the required product.

Step-by-step explanation:

some important identities of algebra

• (a + b)² = a² + b² +2ab
• (a - b)² = a² + b² -2ab
• (a²+ b²) = (a +b)² -2ab = (a -b)² +2ab
• (a²- b²) = (a +b)(a - b)
• $.$

Answer 2

Answer:

x$x^{3} - x^{2} y +xy^{2} + x^{2}y -xy^{2} +y^{3} \\x^{3} + y^{3}$

Step-by-step explanation:

Those between x^3 and y^3 has been subtracted. First we multiply x with each term on the second bracket and then do the same with y.