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Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.
`x + 3x^3y + 3x^2y^2 - 3x^3y - 3xy^3 + y^4 - 3x^2y^2`

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NCERT EXEMPLAR-ALGEBRAIC EXPRESSIONS-Exercise
  1. Find the numerical coefficient of each of the terms: (i) x^3y^2z, xy...

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  2. Simplify the following by combining the like terms and then write whet...

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  3. Simplify the following by combining the like terms and then write whet...

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  4. Simplify the following by combining the like terms and then write whet...

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  5. Simplify the following by combining the like terms and then write whet...

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  6. Simplify the following by combining the like terms and then write whet...

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  7. Add the following expressions: p^2 - 7pq - q^2 and - 3p^2-2pq + 7q^2

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  8. Add the following expressions: x^3 - x^2y - xy^2 - y^3 and x^3-2x^2y...

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  9. Add the following expressions: ab + bc + ca and - bc - ca- ab

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  10. Add the following expressions: p^2-q +r, q^2 -r+ p and r^2-p+q

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  11. Add the following expressions: x^3y^2 + x^2y^3 +3y^4 and x^4 + 3x^2...

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  12. Add the following expressions: p^2qr + pq^2r + pqr^2 and - 3pq^2r -...

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  13. Add the following expressions: uv - vw, vw - wu and wu - uv

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  14. Add the following expressions: a^2 + 3 ab-bc, b^2 + 3bc - ca and c^2...

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  15. Add the following expressions: 5/8 p^4 +2p^2 + 5/8 , 1/8 - 17 p + 9/...

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  16. Add the following expressions: t-t^2-t^3-14,15t^3+13+9t-8t^2,12t^2-1...

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  17. Subtract - 7p^2qr from - 3p^2qr

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  18. Subtract -a^2-ab " from " b^2 +ab.

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  19. Subtract -4x^2y-y^3 " from " x^3 +3xy^2-x^2y.

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  20. Subtract x^4+3x^3y^3+5y^4 " from " 2x^4-x^3y^3+7y^4.

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