then find what 2 numbers multiply to get 100 and add to get 20
the numbers are 10 and 10
so split the center term up 100x^2+10x+10x+1 group (100x^2+10x)+(10x+1) undistribute (10x)(10x+1)+(1)(10x+1) undistribute/reverse distributive property (10x+1)(10x+1) (10x+1)^2