How do you multiply(x-2y)^2(x−2y)2?

1 Answer
Jim G.
Feb 28, 2016

x^2 - 4xy + 4y^2x2−4xy+4y2

Explanation:

(x-2y)^2 = (x - 2y)(x - 2y)(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=x2−2xy−2xy+4y2=x2−4xy+4y2

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