Question

a/b+b/a=2 then a3-b3=
​

Answer 1

Answer:

$(a-b)(3ab)$

Step-by-step explanation:

$\frac{a}{b} +\frac{b}{a} =2$

$\frac{a^{2}+b^{2} }{ab} =2$

$a^{2} +b^{2} =2ab$

We have to find  $a^{3} -b^{3}$

we know,

$a^{3} -b^{3} =(a-b)(a^{2} +b^{2} +ab)$

$a^{3} -b^{3}=$ $(a-b)(2ab+ab)$

$a^{3} -b^{3}= (a-b)(3ab)$