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Expand of the following, using suitable ...

Expand of the following, using suitable identities.`(x + 2y + 4z)^2`

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VGS PUBLICATION-BRILLIANT-POLYNOMIAL AND FACTORIISATION-EXERCISE
  1. Factorise the following using appropri ate identities : x^2 + 5x + 6.

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  2. Factorise the following using appropriate identities. 3p^2-24p+36

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  3. Expand of the following, using suitable identities.(x + 2y + 4z)^2

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  4. Expand of the following, using suitable identities : (2a - 3b)^3.

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  5. Expand of the following, using suitable identities : (-2a+5b-3c)^2.

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

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  7. Expand of the following, using suitable identities : (p + 1)^3.

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  8. Expand of the following, using suitable identities :(x-(2/3)y)^3.

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  9. Factorise : 25x^2 + 16y^2 + 42^2 - 40xy + 16yz -20xz.

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  10. Factorise : 9a^2 + 4b^2+ 16c^2+12ab16bc -24ca.

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  11. If a+b+c=9 and ab + bc + ca = 26, find a^2 + b^2 +c^2.

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  12. Evaluate the following using suitable identities : (99)^3.

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  13. Evaluate the following using suitable identities : (102)^3.

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  14. Evaluate the following using suitable identities : (998)^3.

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  15. Evaluate the following using suitable identities : (1001)^3.

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

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

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  18. Factorise of the following : 1-64a^3-12a + 48a^2.

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  19. Factorise of the following : 8p^3-12/5p^2+6/25p -1/125.

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  20. Verify : x^3 + y^3 = (x + y) (x^2- xy + y^2)

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