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Factorize : 4x ^(2) + 9y ^(2) + 16 z ^(2...

Factorize : `4x ^(2) + 9y ^(2) + 16 z ^(2) + 12 xy - 24 yz - 16 xz`

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The correct Answer is:
`(2x + 3y - 4z)`
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SWAN PUBLICATION-POLYNOMIALS -EXERCISE 2.5
  1. Expand the following using suitable Identities : (-2x + 5y -3z)^2.

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  2. Expand the following using suitable Identities : [1/4a-1/2b+1]^2.

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  3. Factorize : 4x ^(2) + 9y ^(2) + 16 z ^(2) + 12 xy - 24 yz - 16 xz

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  4. Factorise : 2x ^(2) + y ^(2) + 8z ^(2) - 2 sqrt2 xy + 4 sqrt2 yz - 8 ...

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  5. Write the following cube in expanded : (2x+1)^3.

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  6. Write the following cube in expanded : (2a-3b)^3.

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  7. Write the following cube in expanded : [3/2x+1]^3.

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  8. Write the following cube in expanded : [x-2/3y]^3.

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  9. Evaluate the following using suitable identity : (99)^3.

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  10. Evaluate the following using suitable identity : (102)^3.

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  11. Evaluate the following using suitable identity : (998)^3.

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  12. Factorise the following : 8a^3+b^3+12a^2b+6ab^2.

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  13. Factorise each of the following: 8a^3- b^3-12a^2b + 6ab^2

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  14. Factorise the following : 27-125a^3-135a+225a^2.

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  15. Factorise ech of the 64 a ^(3) - 27 b ^(3) - 144 a ^(2) b + 108 ab ^...

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  16. Factorise the following : 27p^3-1/216-9/2p^2+1/4p.

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  17. Simplify (x + y) (x ^(2) + xy + y ^(2))

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  18. Prove that x ^(3) - y ^(3) = (x - y) (x ^(2) + xy + y ^(2))

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  19. Factorise each of the following: 27y^(3) + 125x^(3)

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  20. Factorise the following : 64m^3 - 343n^3.

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