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Write the following cubes in expanded fo...

Write the following cubes in expanded form :
`[x-(2)/(3)y]^(3)`

Text Solution

Verified by Experts

The correct Answer is:
`x^(3) - (8)/(27)y^(3)-2x^(2)y + (4)/(2)xy^(2)`
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KUMAR PRAKASHAN-POLYNOMIALS-Exercise - 2.5
  1. Write the following cubes in expanded form : (2a-3b)^(3)

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  2. Write the following cubes in expanded form : [(3)/(2)x+1]^(3)

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  3. Write the following cubes in expanded form : [x-(2)/(3)y]^(3)

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  4. Evaluate the following uing suitable identities : (99)^(3)

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  5. Evaluate the following uing suitable identities : (102)^(3)

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  6. Evaluate the following uing suitable identities : (998)^(3)

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  7. Factorise each of the following (i) 8a ^(3) + b^(3) + 12a ^(2) + 6ab...

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  8. Factorise each of the following (i) 8a ^(3) + b^(3) + 12a ^(2) + 6ab...

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  9. Factorise each of the following : 27-125a^(3)-135a + 225a^(2)

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  10. Factorise each of the following : 64a^(3) - 27b^(3) - 144a^(2)b + 10...

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  11. Factorise each of the following : 27p^(3) - (1)/(216)-(9)/(2)p^(2) +...

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  12. Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) ...

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  13. Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) ...

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  14. Factorise each of the following : 27y^(3) + 125z^(3)

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  15. Factorise each of the following : 64m^(3) - 343 n^(3)

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  16. Factorise 27 x ^(3) + y ^(3) + z ^(3)-9 xyz using identitiy.

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  17. Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(...

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  18. (a) If x + y + z=0, show that x ^(3) + y ^(3) + z ^(3)= 3 xyz. (b) ...

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  19. Without actually calculating the cubes, find the value of each of the ...

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  20. Without actually calculating the cubes, find the value of each of the ...

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