1. (x+1)(x+1)=x^2+x+x+1=x^2+2x+1

11*11=121

2. (x+1)(x+2)=x^2+2x+x+2=x^2+3x+3
11*12=132

3. (x+1)(x+3)=x^2+3x+x+3=x^2+4x+3
11*13=143

What are the similarities between the two answers in each pair of products?

how about

(2x+1)(2x+3) - 4x^2 + 8x + 3 and
21x23 = 483 WOW!

let's try
(3x+2)(3x+4) = 9x^2 + 18x + 8 and
32x34 = 1088

mmmhhh!
008
180
900
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1088