Question

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

Answer 1

`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`