#### Question

Given 2+\dfrac{2}{3} =2^2×\dfrac{2}{3} ,3+\dfrac{3}{8} =3^2×\dfrac{3}{8} ,4+\dfrac{4}{15} =4^2×\dfrac{4}{15} , ...If 10+\dfrac{a}{b} =10^2×\dfrac{a}{b}(a,b are positive integers ) . Find the value of the expression \dfrac{a^2+2ab+b^2}{ab^2+a^2b}