How do you simplify #3x y ( 2x + y ) ( 2x - y )#?

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Answer 1 · 2016-12-09T14:04:00

#12x^3y - 3xy^3#

Step 1) Cross multiply the two terms within parenthesis:

#3xy((2x*2x) - (2x*y) + (2x*y) - y*y)#

#3xy((4x^2) - (2xy) + (2xy) - y^2)#

#3xy((4x^2) - y^2)#

Step 2) Distribute #3xy# across the terms within parenthesis:

#(3xy*4x^2) - (3xy*y^2)#

#12x^3y - 3xy^3#