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

Factorize : `(x-y)^3+(y-z)^3+(z-x)^3`

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To factorize the expression \((x-y)^3 + (y-z)^3 + (z-x)^3\), we can use the identity for the sum of cubes. Let's go through the steps: ### Step 1: Identify the terms Let: - \(a = x - y\) - \(b = y - z\) - \(c = z - x\) ...
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Value of (x-y)^(3) +(y-z)^(3) +(z-x)^(3) is

What is ((x-y)^3+(y-z)^3+(z-x)^3)/(3(x-y)(y-z)(z-x)) equal to?

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RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Factorize : (x^2-4x)(x^2-4x-1)-20

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Factorize each of the following expressions: x(x^2+y^2-z^2)+y(-x^2...

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  17. Factorize each of the following expressions by splitting the middle ...

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  18. Factorize each of the following expressions by splitting the middle ...

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

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  20. Factorize of the expression: a^3x+a^2(x-y)-a(y+z)-z\

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