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

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

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RD SHARMA ENGLISH-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Factorize the following expression by splitting the middle term: 9(...

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

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

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

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

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

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

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

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

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  11. 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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  12. Factorize each of the following expressions: (i)4a^2+12 a b+9b^2-8a-...

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  13. Factorisation by grouping the terms: (x^2+3x)^2-5(x^2+3x)-y(x^2+3x)+5y

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  14. Factorize each of the following expressions : 4a^2-9b^2-2a-3b

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  15. Factorize each of the following algebraic expressions : x^8-y^8 (i...

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  16. 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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  17. Factorize : 64 a^3+125 b^3+240 a^2b+300 a b^2

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  18. Factorize each of the following expressions : (i) 4sqrt(3)x^2+5x-2sqr...

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

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

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