Question

a²-b²and a-b ka third proportional

Answer 1

let A be the third proportional ,

then


square of middle term = product of first and third term,


then


(a-b)²=(a²-b)² × A,


(a-b)(a-b)=(a+b)(a-b) × A,


(a-b)=(a+b) × A,


then

A=(a-b)/(a+b)