Question

一道有关因式分解和多项式的乘除法的题目

Answer 1

∵长方形剪去边长为1的正方形余下面积ab＋a－b－2

∴长方形的面积 = (ab＋a－b－2) + (1×1) = ab＋a-b-1

∵长方形长为a-1

∴长方形的宽 = (ab＋a-b-1)/(a-1) = {(ab-b)+(a-1)}/(a-1) = {b(a-1)+(a-1)}/(a-1)=b+1