StephanieQueen2003
StephanieQueen2003 StephanieQueen2003
  • 24-01-2019
  • Mathematics
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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 24-01-2019

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)

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