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Factorize: (i) 8x^3+27 y^3+z^3-18 x y z...

Factorize: (i) `8x^3+27 y^3+z^3-18 x y z`, (ii) `a^3-8b^3-64 c^3-24 a b c`

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1)`8x^3+27y^3+z^3-18xyz`
`(2x+3y+z)(4x^2+9y^2+z^2-6xy-3yz-2xz)`
2)`a^3-8b^3-64c^3-24abc`
`(a-2b-4c)(a^2+4b^2+16c^2+2ab+4ac-8bc)`.
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RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Factorize each of the following expressions : 4a^2-9b^2-2a-3b

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  2. Factorize each of the following algebraic expressions : x^8 - y^8 a...

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  3. Factorize: (i) 8x^3+27 y^3+z^3-18 x y z, (ii) a^3-8b^3-64 c^3-24 a...

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  4. Factorize : 64 a^3+125 b^3+240 a^2b+300 a b^2 8/(27)x^3+1+4/3x^2+2x...

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  5. Examples based on the middle term concepts : (i) 4sqrt3 x^2 + 5x - 2sq...

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  6. Factorize : (x^2-4x)(x^2-4x-1)-20

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  7. Factorize : p^3(q-r)^3+q^3(r-p)^3+r^3(p-q)^3

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  8. Factorize : (x-y)^3+(y-z)^3+(z-x)^3

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  9. Factorize : 2sqrt(2)x^3+3sqrt(3)y^3+sqrt(5)(5-3sqrt(6)x y)

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  10. Prove that : a^3+b^3+c^3-3a b c=1/2(a+b+c){(a-b)^2+(b-c)^2+(c-a)^2}

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  11. Factorize : 2sqrt(2)a^3+8b^3-27 c^3+18sqrt(2)a b c

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  12. Resolve a^3-b^3+1+3a b into factors.

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  13. Factorise : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)

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  14. Factorize each of the following expressions : x^2+2x y+y^2-a^2+2a b...

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  15. Factorize each of the following expressions : 3-12(a-b)^2

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  16. Factorize each of the following expressions : x(x+z)-y(y+z) ​

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  17. Factorize each of the following expressions : a^2-b^2-a-b

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  18. Factorize each of the following expressions : 25 x^2-10 x+1-36 y^2

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  19. Factorize each of the following expressions : 1-2a b-(a^2+b^2)

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  20. Factorize each of the following expressions: a b(a^2+b^2-c^2)+b c(a...

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