Question

Use the Binomial Theorem to expand (x - 2y)^3

Answer 1

`(x-2y)^3=x^3-6x^2y+12xy^2-8y^3`

Answer 2

From Binomial Theorem (x-2y)³:
(
`((3)/(0)) x^(3)+( (3)/(1) ) x^(2) *(-2y)+( (3)/(2))x*( -2y)^(2) +( (3)/(3)) x^(0) (-2y)^(3) =`
`(3!)/(0!3!) x^(3)- (3!)/(1!2!) x^(2) 2y- (3!)/(2!1!)x4 y^(2)- (3!)/(3!0!)8 y^(3)`=x³-6x²y-12xy²-8y³