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If  , the value of x3 – y3 is :

  • a)
    1

  • b)
    1/2

  • c)
    0

  • d)
    -1

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If, the value of x3– y3is :a)1b)1/2c)0d)-1Correct answer is opti...
  1. Create a common denominator:
    • Multiply both sides of the equation by xy to get rid of the fractions:
      • x² + y² = -xy
  2. Rearrange the equation:
    • Add xy to both sides:
      • x² + xy + y² = 0
  3. Substitute the values in:  x³ - y³ = (x - y)(x² + xy + y²)
  4.            We also know x² + xy + y² = 0 from step 2.
                Substitute these values into the identity:
    • x³ - y³ = (x-y)(0) = 0
Therefore, the value of x³ - y³ is 0.
So, the correct answer is option 3.
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Most Upvoted Answer
If, the value of x3– y3is :a)1b)1/2c)0d)-1Correct answer is opti...
X/y+y/x=-1 X2+y2/xy=-1 x2+y2=-xy x2+y2+xy=0 now, x3-y3=(x-y) (x2+y2+xy) 0
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Community Answer
If, the value of x3– y3is :a)1b)1/2c)0d)-1Correct answer is opti...
Formula , x³ - y³ =(x- y) (x² +xy +y²) , = x² +y² +xy = 0 ,( x -y ) (x² + xy + y²) =0 , x³ -y ³= 0 .. correct answer is option c ) 0
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