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CBSE Class 9 Answered

x/y+y/x=-1  Then  find the value of x³-y³
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Asked by samarthnagpal254 | 25 Aug, 2019, 07:19: PM
answered-by-expert Expert Answer
We know that,x3 - y3 = (x - y)(x² + xy + y²) ....(i)
Given that, x/y + y/x = -1
(x² + y²)/xy = -1
x² + y² = -xy
x² + y² + xy = 0
(x² + xy + y²) = 0
Multyplying by (x - y) on both sides we get,(x - y)(x² + xy + y²) = (x - y) × 0
x3 - y3 = 0    using (i)

Answered by Sneha shidid | 26 Aug, 2019, 09:21: AM
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