Simplifying

Question

(2x-y)²-6xy

Answer 1

(2x-y)² - 6xy

 

= (2x-y)(2x-y) - 6xy

 

= 4x² - 2xy - 2xy + y² - 6xy

 

= 4x² + y² - 10xy

Answer 2

(2x - y)² - 6xy

So by squaring the set, that means we now have:

(2x - y)(2x - y) - 6xy

And so, we FOIL:

4x² - 2xy - 2xy + y² - 6xy

 

From here, you can combine like terms, all of the terms that have 'xy' as their variables.