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Simplify: (x+y)^3-(x-y)^3-6y(x^2-y^2)...

Simplify: `(x+y)^3-(x-y)^3-6y(x^2-y^2)`

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RD SHARMA ENGLISH-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Factorize each of the following expressions : x^4+y^4 (ii) x^4+4x^2...

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  2. Factorize : 27 a^3+1/(64 b^3)+(27a^2)/(4b)+(9a)/(16 b^2)

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  3. Simplify: (x+y)^3-(x-y)^3-6y(x^2-y^2)

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  4. Prove that : (0. 87 \times 0. 87 \times 0. 87+0. 13 \times 0. 13 \time...

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  5. Factorize each of the following expressions : 54 x^6y+2x^3y^4, ...

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  6. Factorize each of the following expressions : (i) x^(12)-y^(12) (ii) ...

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  7. Factorize : (i) x^3+3x^2+3x-7 (ii) x^3-3x^2+3x+7 (iii) x^6-7x^3-8

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

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  9. Factorize each of the following expressions : (i) a^6-b^6 (ii) a^6+b^...

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  10. Factorize the following expression by splitting the middle term: 9(...

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  11. What are the possible expression for the dimensions of a cuboid whose ...

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  12. If p=2-a , prove that a^3+6a p+p^3-8=0

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  13. Factorize each of the following expressions : . (...

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  14. Factorize : (a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3

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  15. Factorize : (x-2y)^3+(2y-3z)^3+(3z-x)^3

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  16. Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)...

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  17. Find the value of x^3-8y^3-36 x y-216 , when x=2y+6.

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  18. Factorize each of the following expressions : x^4+x^2+1 (ii) x^4+5x^2...

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  19. Factorize each of the following expressions: 2p(a-b)+3q(5a-5b)+4r(2a...

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  20. Prove that : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)=2(a^3+b^3+c^3-3a...

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