How do you multiply#(x-2y)^2#?

1 Answer
Feb 28, 2016

Answer:

#x^2 - 4xy + 4y^2#

Explanation:

#(x-2y)^2 = (x - 2y)(x - 2y)#

To multiply must ensure that each term in the 2nd bracket is multiplied by each term in the 1st bracket

This can be done as follows :

x(x - 2y ) - 2y(x - 2y)

#= x^2 - 2xy - 2xy + 4y^2 = x^2 - 4xy + 4y^2#