How do you multiply (3x2y)2?

1 Answer
Mar 24, 2015

The special product (A+B)2=A2+2AB+B2
where (in this case) A=3x and B=2y

Explanation:

Plug that in:

=(3x)2+2(3x)(2y)+(2y)2

=9x212xy+4y2

Or:
If you forgot the special products, you can expand:

=(3x2y)(3x2y)

And then work using FOIL, which means:
First - Outer - Inner -Last

=3x3x+3x(2y)+(2y)3x+(2y)(2y)

Which (of course) wil give the same result.