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In the formula, a^3+b^3+c^3-3 abc = 1/...

In the formula,
`a^3+b^3+c^3-3 abc = 1/2 (a+b+c){(a-b)^2+(b-c)^2+(c-a)^2}` ,
if `a + b + c != 0` , Show that if `a^3 +b^3+c^3= 3abc impliesa=b=c`

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KALYANI PUBLICATION-HARDER PRODUCT AND FACTORISATION -EXERCISE
  1. In the formula, a^3+b^3+c^3-3 abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca) ...

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  2. In the formula, a^3+b^3+c^3-3 abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca) ...

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  3. In the formula, a^3+b^3+c^3-3 abc = 1/2 (a+b+c){(a-b)^2+(b-c)^2+(c-a...

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  4. Find the product of the following. (x+2) (x+3) (x+4)

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  5. Find the product of the following. (x+2) (x+5) (x+7)

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  6. Find the product of the following. (x+8) (x+12) (x+15)

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  7. Find the product of the following. (x+5) (x+9) (x+11)

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  8. Find the product of the following. (x+a) (x+3a) (x+5a)

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  9. Find the product of the following. (x+3) (x+3) (x-6)(x+2)

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  10. Find the product of the following. (x+4) (x+5) (x-10)

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  11. Find the product of the following. (x-8) (x+3) (x+1)

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  12. Find the product of the following. (x-5) (x-2) (x+8)

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  13. Find the product of the following. (x-3) (x+7) (x-4)

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  14. Find the product of the following. (x-6) (x-7) (x-11)

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  15. Find the product of the following. (x-3) (x-6) (x-9)

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  16. Find the product of the following. (x-14) (x+8) (x+6)

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  17. Find the product of the following. (x+2a) (x-5a) (x+6a)

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  18. Find the product of the following. (x+5a) (x-8a) (x-3a)

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  19. Resolve into factors : x^3+y^3 + 3xy-1

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  20. Resolve into factors : a^3-3abc-b^3-c^3

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