Algebra 2? Help with patterns.?

Question

How do the numbers in the right column relate to the numbers in the left column?

And what do the numbers in the right column equal?

101*101 (x+1)(x+1)

101*102 (x+1)(x+2)

101*103 (x+1)(x+3)

102*102 (x+2)(x+2)

102*103 (x+2)(x+3)

102*104 (x+2)(x+4)

103*103 (x+3)(x+3)

Answer 1

Well obviously x=100 so they are related because (100+1)=101 and everything is being added to x, then when you multiply the outcomes of the two equations in the parentheses you get whatever 101*101 is.