Question

WHAT IS THE CONJECTURE BASED ON WHAT YOU OBSERVE.

11X11=
111X111=
1111X1111=
11111X11111=

Answer 1

for n = 1, (10^1 + 1)^2
for n = 2, (100 ^2+ 1)^2
for n = 3, (10^3 + 1)^2
for n = n, (10^n + 1)^2

Ans. For row n, factor will be (10^n + 1)^2