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If a^(3)+b^(3)=5 and a+b=1, then find th...

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

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PEARSON IIT JEE FOUNDATION-POLYNOMIALS, LCM AND HCF OF POLYNOMIALS -CONCEPT APPLICATION (LEVEL 1)
  1. The HCF of the polynomials 10(a-1)(a-2)^(3),120(a-3)(a-2)^(3), and 135...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If x^(3)+(1)/(x^(3))=62, then find the value of sqrt(x^(3))+(1)/(sqrt(...

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  19. The square of binomial is a .

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  20. Which of the following is a binomial?

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