Question

If a/b + b/a = -1, then find a3-b3.

Answer 1

Answer:Hope this helps

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

$Given\\\frac{a}{b}+\frac{b}{a}=-1$

Multiply each term by ab , we get

$\implies a^{2}+b^{2}=-ab--(1)$

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

/* From (1)*/

$=(a-b)\times 0$

$=0$

Therefore,

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

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