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Factorize x(y^(2)+z^(2))+y(z^(2)+x^(2)...

Factorize
`x(y^(2)+z^(2))+y(z^(2)+x^(2))+z(x^(2)+y^(2))+2xy`

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x(y^(2)-z^(2))+y(z^(2)-x^(2))+z(x^(2)-y^(2)) is divisible by

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QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. Which of the following algebric expressions are polynomials? x^3-2x+x...

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

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  3. Factorize x(y^(2)+z^(2))+y(z^(2)+x^(2))+z(x^(2)+y^(2))+2xy

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  4. x y : y z : z x = 1 : 5 : 9 Find ( x + y ) : ( y + z ) : ( z + x ) =...

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  5. Shweta scored x marks in Maths,y marks in science and 40 marks in Eng...

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  6. Quotient of z by 4 is multiplied by thrice the number y.

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  7. Express 6xxpxxqxxrxxpxxpxxp in the exponential form :

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  8. Find the number of terms in 2x^(2)-(3)/(x)+(5)/(x^(2))+9.

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  9. Find the number of terms in 4xyz-(3)/(x^(2))+6xyz^(2)-5z^(3)+6x:

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  10. Find the number of terms in 7xxa+bdiv3-c+b.

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  11. Find the coefficient of z^3 in -10xy^2z^3

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  12. In the following which pair contains like terms?

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  13. Find the degree of the polynomial 4x^(5)-2x^(2)y^(3)+6.

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  14. Simplify the following : 2x^(2)+3y^(2)-5xy+5x^(2)-y^(2)+6xy-3x^(2)

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  15. If sum of two polynomials is 5x^(2)+3x-1. If one of them is 3x^(3)-2x+...

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  16. Multiply (1)/(2)a^(2)b-(2)/(3)ab^(2)+b by 6abc:

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  17. Find the product of ((1)/(2)x^(2)-(1)/(3)y^(2))and((1)/(2)x^(2)+(1)/(3...

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  18. Divide 36x^(2)y^(5)+42xy^(3)-24x^(3)y^(2)-12y^(5) by -6y^(2).

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  19. Find the remainder when the expression 3x^3+6x^2-7x+6 is divided by x ...

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  20. Find the value of a if the division of ax^(3)+9x^(2)+4x-10 by (x+3) le...

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