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Express each of the following as a ratio...

Express each of the following as a rational expression.
Sum of `(2x^(2)+3)/(x-3)` and its reciprocal is :

A

`(4x^(4)+13x^(2)-6x+18)/(2x^(3)-6x^(2)+3x-9)`

B

`(4x^(4)-13x^(2)+6x-18)/(3x^(2)-6x^(3)+3x+9)`

C

`(4x^(4)-13x^(2)-6x+18)/(4x^(3)-6x^(2)+3x-9)`

D

none of these

Text Solution

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The correct Answer is:
A
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ARIHANT SSC-ELEMENTS OF ALGEBRA-INTRODUCTORY EXERCISE - 13.1
  1. The GCD of (x^(4)-4x^(2)+3) and (x^(4)-x^(2)-6) is :

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  2. The HCF of (x^(2)-4)(x^(2)-5x-6) and (x^(2)+x-6) is :

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  3. The GCD of [x^(2)-ax-(a+1)] and [ax^(2)-x-(a+1)] is :

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  4. LCM of the polynomials P and Q, where P=(x-2)(x+1)^(2)(x+3)^(2) Q=...

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  5. The LCM of (a^(3)+b^(3)) and (a^(4)-b^(4)) is :

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  6. The HCF of (x^4-1) and (x^3+x^2+x+1) is:

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  7. The GCD of (2x^(2)-4x), (3x^(4)-12x^(2)) and (2x^(5)-2x^(4)-4x^(3)) is...

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  8. The HCF of two expressions P and Q is 1. Their LCM is :

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  9. The LCM of (x+2)^(2)(x-2) and (x^(2)-4x-12) is :

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  10. The HCF of a^2-ab-2b^2 and 2a^2-ab-b^2 is :

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  11. HCF and LCM of a^(2)b^(3)c^(4) and a^(5)b^(4)c^(3) are :

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  12. Express each of the following as a rational expression. ((x+3))/((x-...

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  13. Express each of the following as a rational expression. (x+1)/(x-1)+...

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  14. Express each of the following as a rational expression. (x^(2)-5x+6)...

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  15. Express each of the following as a rational expression. Sum of (2x^(...

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  16. Express the following in the lowest terms. ((x-3)(x^(2)-5x+4))/((x-4...

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  17. Express the following in the lowest terms. ((2x^(2)+1)/(x-1)+(x-1)/(...

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  18. Express the following in the lowest terms. sqrt(((x^(2)+3x+2)(x^(2)+...

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  19. Simplify (1)/((a-b)(a-c))+(1)/((b-c)(b-a))+(1)/((c-a)(c-b))

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  20. Express (1)/((1-x))+(1)/((1+x))+(2)/((1+x^(2)))+(4)/((1+x^(4))) as a r...

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