Question

Prove this polynomial identity...

(x − y)(x2 + 2xy + y2)

Answer 1

• Answer:

x³ + x²y - xy² - y³

• Step-by-step explanation:

Hi there !

(x − y)(x² + 2xy + y²) =

= x(x² + 2xy + y²) - y(x² + 2xy + y²)

= x³ + 2x²y + xy² - x²y - 2xy² - y³

= x³ + x²y - xy² - y³

Good luck !