11-1=10
11=10+1
multiply and divide r.h.s with 1-1
11= (10+1)(1-1) / (1-1)
11= (9+1+1)(1-1) / (1-1)
11= [9(1-1)+(1+1)(1-1)] / (1-1) ------->(a+b)(a-b)=a²-b²
11=9(1-1)/(1-1) + (1²-1²)/(1-1)
11=9 + (1-1)/(1-1)
11=9+1
do the same above process again, we get
11=8+1
this can be written as
11=9 => 11=10-1 => 10-1=11
add 19 and 5 on both sides in different equations, we get
29-1=30,
15-1=16
hence proved??