Question

if a/b+b/a=-1,find a³-b³

Answer 1

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Answer 2

Heya!!!

Here Is Your Answer:-

a/b+b/a=-1

→(a^2+b^2)/ab=-1

→(a^2+b^2)=-ab.........(i)

Now,As We Know,

(a^3+b^3)=(a-b)(a^2+ab+b^2)

→a^3+b^3=(a-b)(ab-ab) 【a^2+b^2=-ab】

→a^3+b^3=(a-b)×0

→(a^3+b^3)=0

Hope My Answer Helped☺️