Answer
(a.) $2xy+2y^2$.
(b.) $2y(x+y)$.
Work Step by Step
In the given figure, there are two rectangle and two squares.
Area of the rectangle is $length \times width$.
Length of the rectangle is $x$.
Width of the rectangle is $y$.
Area of the rectangle is $x\times y = xy$
Area of two rectangles is $2xy$.
Area of the square is $length^2$.
Side of the square is $y$.
Area of the square is $y^2$.
Area of two squares is $2y^2$
(a.) The expression for the area of the shaded blue region is
$=2xy+2y^2$.
(b.) Factor out $2y$ from both terms.
$=2y(x+y)$.