As shown in the figure, there are 1 square a, 2 square B and 3 rectangle C. please put them together into a large rectangle (draw the diagram), and use the relationship between areas to decompose the polynomial A2 + 3AB + 2B2 into factors

As shown in the figure, there are 1 square a, 2 square B and 3 rectangle C. please put them together into a large rectangle (draw the diagram), and use the relationship between areas to decompose the polynomial A2 + 3AB + 2B2 into factors

a2+3ab+2b2=(a+b)(a+2b).