Answer:
4(2x-y) (2x+y)
Step-by-step explanation:
The area of the picture is 2y*2y = 4y^2
The area of the picture and the frame is 4x*4x = 16x^2
The area of the frame is The area of the picture and the frame minus The area of the picture
The area of the frame = 16x^2- 4y^2
Factor out a 4
4(4x^2 -y^2)
This is the difference of squares
a^2 – b^2 = (a + b)(a – b)
a^2 = 4x^2 so a=2x
b^2 = y^2 so b=y
4(4x^2 -y^2) = 4(2x-y) (2x+y)
