Question

if (a^2 + b^2) ^3 =(a^3 + b^3)^2 , and ab is not equal to 0, then the numerical value of a/b + b/a is ?

Answer 1

hey mate
here's the solution

Answer 2

${( {a}^{2} + {b}^{2}) }^{3} = {( {a}^{3} + {b}^{3} ) }^{2} \\ \\ {a}^{6} + {b}^{6} + 3 {a}^{4} {b}^{2} + 3 {a}^{2 } {b}^{4} = {a}^{6} + {b}^{6} + 2 {a}^{3} {b}^{3 } \\ 3 {a}^{2} {b}^{2} ( {a}^{2} + {b}^{2} ) = 2 {a}^{3} {b}^{3} \\ 3 {a}^{2} + 3 {b}^{2} = 2ab \\ \frac{a}{b} + \frac{b}{a} = \frac{2}{3} = 0.6$