Question

(a/b)+(b/a)=2,then fiend (a/b)^10-(b/a)^10

Answer 1

simplify the given first
$\frac{a}{b} + \frac{b}{a} = 2 \\ \frac{ {a}^{2} + {b}^{2} } {ab} = 2 \\ {a}^{2} + {b}^{2} = 2ab \\ \ {(a - b)}^{2} = 0 \\ a = b$
hence the expression becomes 0

Answer 2

Answer is 0 when you work on the first expression a=b, the last work will be 1-1=0