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If x+y=3 and xy=2, then find x^4+y^4....

If `x+y=3` and `xy=2`, then find `x^4+y^4`.

A

16

B

14

C

18

D

17

Text Solution

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The correct Answer is:
D
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PEARSON IIT JEE FOUNDATION-POLYNOMIALS, LCM AND HCF OF POLYNOMIALS -CONCEPT APPLICATION (LEVEL 1)
  1. Simplify the equation ((a)/(2)-(b)/(3))^(3)+((a)/(2)+(b)/(3))^(3).

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

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  3. If x+y=3 and xy=2, then find x^4+y^4.

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  4. The HCF of the polynomials 10(a-1)(a-2)^(3),120(a-3)(a-2)^(3), and 135...

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  5. The LCM of the polynomials 12(x^4+x^3+x^2) and 18(x^4-x) is

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  6. The polynomials a^(2)-b+ab-a, on factorization, reduces to .

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  7. find value (8x^(3)+11x)div3x

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  8. The HCF of polynomials x^(3)-1 and x^(2)-1 is .

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  9. The factorized form of the polynomial y^2 + (x -1) y - x is

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  10. if a+b=3 and ab=2, then find a^3+b^3.

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  11. The value of 51^3 + 49^3 is

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  12. If x+y+z=5 and xy+yz+zx=7, then x^(3)+y^(3)+z^(3)-3xyz = .

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  13. Factorization of the polynomial (x - y)^2 a^2 + 2(x- y) (x + y) ab + ...

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  14. The factors of the expression x^(2)-2x-63 are .

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  15. If ab+bc+ca=4 and abc=2, then find the value of (1)/(a)+(1)/(b)+(1)/(c...

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  16. Factorize x^(2)-y^(2)+z^(2)-a^(2)+2(xz+ay)

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  17. If x+1/x=7 then x^3-1/(x^3) is

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  18. If 1/a+1/b+1/c =1 and abc =2 then find ab^2c^2+a^2bc^2+a^2b^2c is

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  19. If a^(3)+b^(3)=5 and a+b=1, then find the value of ab.

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  20. Simplify (x^((2)/(3))-y^((2)/(3)))(x^((4)/(3))+x^((2)/(3))y^((2)/(3))+...

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