Answer & Step-by-step explanation:
The problem says that the circles represents the sum of the two rectangles. So, in order to find the circle on the left side, we are going to have to add together (4x + 3y) and (2x - y).
(4x + 3y) + (2x - y)
4x + 3y + 2x - y
Combine like terms.
So, the answer for the circle on the left is 6x + 2y
Now, let's find the bottom right rectangle. To do so, we are going to subtract (x + 4y) from (4x + 5y).
(4x + 5y) - (x + 4y)
4x + 5y - x - 4y
Combine like terms.
So, the answer for the bottom right rectangle is 3x - y
Now, let's find the bottom circle. We can do this by adding together (3x - y) and (2x - y).
(3x - y) + (2x - y)
3x - y + 2x - y
Combine like terms.
So, the answer for the bottom circle is 5x - 2y
