Question

If a/b+b/a= -1 then (a^3 - b^3)=?​

Answer 1

Answer:

0

Step-by-step explanation:

$\frac{a}{b} +\frac{b}{a} = -1=>\frac{a^{2} +b^{2} }{ab} =-1=>a^2+b^{2}=-ab=>a^{2} +b^{2}+ab= 0 \\\\a^3-b^3=(a-b)(a^{2} +b^{2}+ab)=> a^3-b^3=(a-b)*0=0\\=>a^3-b^3 =0$

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