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Expand the following using suitable Iden...

Expand the following using suitable Identities : `(-2x + 3y + 2z)^2`.

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The correct Answer is:
`4x^(2)+9y^(2)+4zA^(2)-12xy+12yz-8zx`
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NAND LAL PUBLICATION-POLYNOMIALS-EXERCISE 2.5
  1. Expand the following using suitable Identities : (x + 2y + 4z)^2.

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  2. Expand each of the following, using suitable identifies : (2x -y + 2)...

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  3. Expand the following using suitable Identities : (-2x + 3y + 2z)^2.

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  4. Expand the following using suitable Identities : (3a-7b-c)^2.

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  5. Expand the following using suitable Identities : (-2x + 5y -3z)^2.

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  6. Expand each of the following, using suitable identifies : [a-b+1]^2

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  7. Factorise : 4x^2+9y^2+16z^2+12xy-24yz-16xz.

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  8. Factorise : 2x^2+y^2+8z^2-2sqrt2xy+4sqrt2yz-8xz.

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

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

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  11. Write the following cubes in expanded form: [3x+1]^3

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

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

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

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

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

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

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

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  19. Factorise the following : 64a^3-27b^3-144a^2b+108ab^2.

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

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