Question

if x/y+y/x= -1 find x³-y³​

Answer 1

Solution

Given:-

• x/y+y/x= -1 ________(1)

Find:-

• Value of (x³ - y³)

Explanation

Using Formula

$\star\boxed{\underline{\tt{\red{\:(x^3-y^3)\:=\:(x-y)(x^2+xy+y^2)}}}}$

So, Now By equ(1)

==> x/y+y/x= -1

xy be LCM of both denominator

==> (x² + y²)/xy = -1

==> (x² + y²) = -xy

==> x² + xy + y² = 0 ________(2)

Now, Calculate (x³ - y³)

==> (x³ - y³) = (x - y)(x² + xy + y²)

Keep value by equ(2)

==> (x³ - y³) = (x - y)(0)

==> (x³ - y³) = 0.

Hence

• Value of (x³ - y³) will be 0

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Answer 2

Answer:

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