9514 1404 393
Answer:
(2x +y)(2x -y +6)
Step-by-step explanation:
The shaded area is the difference of the areas of the outer square and the inner square. In turn, those areas are the square of the edge dimension of the square. So, the shaded area is the difference of squares:
area = (2x +3)² -(y -3)²
The difference of squares is a "special product" in that it has a factored form that is worth remembering.
a² -b² = (a -b)(a +b)
Using this form for our area, we have ...
area = ((2x +3) -(y -3))((2x +3) +(y -3))
area = (2x -y +6)(2x +y)
