Please expand this expression and let me know step by step how you got to it. thx :)

Question

Expanding in math............?

(x-y)(x^2-12xy+20y^2)

Answer 1

(x - y)(x² - 12xy + 20y²)
 

Use the Distributive Property:
= x(x² - 12xy + 20y²) - y(x² - 12xy + 20y²)
 

Use the Distributive Property twice more:
= x³ - 12x²y + 20xy² - x²y + 12xy² - 20y³

Combine like terms:
= x³ - 13x²y + 32xy² - 20y³