if x/y+y/x=1, the value of x³+y³
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Answered by
5
x³-y³=0
Step-by-step explanation:
Given Problem:
If x/y+y/x = -1 then find the value of x³-y³
Solution:
Given:
x/y+y/x = -1
To Find:
Value of x³-y³
------
We know,
⇒x³-y³ =(x-y)(x²+xy+y²)...................(Equation 1)
As Given that in your question,
⇒x/y+y/x= -1
⇒(x²+y²)/xy= -1
⇒x²+y²=-xy
⇒x²+y²+xy= 0
----------------------
Now,Multiply by (x-y) on both sides,
⇒(x-y)(x²+xy+y²) = (x-y) × 0
By Equation 1
⇒x³-y³=0
Hence,The value of x³ - y³
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Answered by
0
Answer:
this is ur answer
Step-by-step explanation:
i hope it will helps u
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