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Factorize : 2sqrt(2)x^3+3sqrt(3)y^3+sqrt...

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

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To factorize the expression \(2\sqrt{2}x^3 + 3\sqrt{3}y^3 + \sqrt{5}(5 - 3\sqrt{6}xy)\), we can follow these steps: ### Step 1: Rewrite the expression Start by rewriting the expression in a clearer form: \[ 2\sqrt{2}x^3 + 3\sqrt{3}y^3 + \sqrt{5}(5 - 3\sqrt{6}xy) \] ...
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RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Factorize : p^3(q-r)^3+q^3(r-p)^3+r^3(p-q)^3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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: (a) 2p(a-b)+3q\ (5a-5b...

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

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

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