Math, asked by deepsikha1234, 11 months ago

if x/y+y/x=1, the value of x³+y³​

Answers

Answered by XxTendulkarxX
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

Plz mark me as brainliest.

Answered by sravya17
0

Answer:

this is ur answer

Step-by-step explanation:

i hope it will helps u

Attachments:
Similar questions