我们知道,用矩形纸片拼成的图形面积可以解释因式分解.如图1,由三个小矩形拼成一个大矩形可以形象地解释ma+mb+mc=m(a+b+c).反之,利用因式分解也可以为拼图提供思路和方法.如图2,公式a2-b2=(a+b)(a-b)可以帮助我们把阴影部分(边长为a的正方形中挖去一个边长为b的小正方形)拼成 We know that the area of ​​the figure made up of rectangular pieces of paper can explain the factorization. As shown in Figure 1, a large rectangle made of three small rectangles can be graphically interpreted as ma+mb+mc=m(a+b+c). On the contrary, using factorization can also provide ideas and methods for the puzzle. As shown in Figure 2, the formula a2-b2=(a+b)(ab) can help us to put shadows (a square with a side length of a A small square with side b is made up