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If ( x + a) ( x + b ) (x + c ) = x^(3) +...

If `( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70`, find the value of
`(a)/( bc) + ( b)/( ac) + ( c )/( ab)`

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The correct Answer is:
`( 39)/( 35)`
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SURA PUBLICATION-ALGEBRA-EXERCISE 3.4
  1. If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70, find the ...

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  2. If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70, find the ...

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  3. If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70, find the ...

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  4. Expand (3a-4b)^(3)

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  5. Expand ( x + (1)/(y))^(3)

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  6. Evaluate the following by using identities : 98^(3)

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  7. Evaluate the following by using identities : 1001^(3)

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  8. If ( x +y+z ) = 9 and ( xy + yz + zx ) = 26 then find the value of x^...

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  9. Find 27a^(3) + 64b^(3) , if 3a + 4b = 10 and ab = 2

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  10. Find x^(3) - y^(3) , find x - y =5 and xy = 14

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  11. If a + (1)/( a) = 6, then find the value of a^(3) + ( 1)/( a^(3))

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  12. If x^(2) + (1)/(x^(2)) = 23, then find the value of x + (1)/( x) and x...

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  13. If ( y - (1)/( y ) )^(3) = 27, then find the value of y^(3) - (1)/( y^...

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  14. Simplify : (2a+3b+4c) ( 4a^(2) + 9b^(2) + 16c^(2) -6ab - 12bc - 8ca...

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  15. Simplify : (x- 2y + 3z ) ( x^(2) + 4y^(2) + 9z^(2) + 2xy + 6yz - 3...

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  16. By using identity evaluate the following : 7^(3) - 10^(3) + 3^(3)

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  17. By using identity evaluate the following : 1+ (1)/( 8) - ( 27)/( 8)

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  18. If 2x - 3y - 4z = 0, then find 8 x^(3) - 27y^(3) - 64z^(3)

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  19. Expand the following using identities : ( 7x + 2y ) ^(2)

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  20. Expand the following using identities : ( 4m - 3m ) ^(2)

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