Question

If a/b + b/a = -1 then (a³ - b³) =? ​

Answer 1

Answer:

0

Step-by-step explanation:

a/b + b/a = -1

take lcm so

$\frac{a^{2}+b^{2}}{ab} =-1$

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

now property says:

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

we know the value of

a^{2}+b^{2}

so

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

$a^{3}-b^{3}=(a-b)(0)$