How do you multiply (2x-3y)^2?

1 Answer
Jun 6, 2017

The answer is 4x^2-12xy+9y^2.

Explanation:

First, we begin by setting it in the form of

(2x-3y)(2x-3y)

Using FOIL, we multiply the first term with the outer and inner term of (2x)(2x-3y). If done right, you should arrive to the answer of

4x^2-6xy

Now we do the same for the last term of the first part so (-3y)(2x-3y) . The answer should be

-6xy+9y^2

So we now have the following terms of

4x^2-6xy-6xy+9y^2

What we do now is simplify (combine like terms). The final answer is

4x^2-12xy+9y^2