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Add the following expressions: (i) x^3...

Add the following expressions: (i) `x^3-2x^2y+3x y^2-y^3,\ 2x^3-5x y^2+3x^2y-4y^3` (ii) `a^2-2a^3b+3a b^3+4a^2b^2+3b^4,-2a^4-5a b^3+7a^3b-6a^2b^2+b^4`

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RD SHARMA-ALGEBRAIC EXPRESSIONS-All Questions
  1. Simplify each of the following: 7x^3y+9y x^3 (ii) 12 a^2b+3b a^2

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  2. Add the following: 7a b c ,\ -5a b c ,\ 9a b c ,\ -8a b c 2x^2y ,\ ...

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  3. Add the following expressions: (i) x^3-2x^2y+3x y^2-y^3,\ 2x^3-5x y^...

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  4. Add the following expressions: (i) 8a-6a b+5b ,\ -6a-a b-8b\ a n d-4...

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  5. Add the following: x-3y-2z (ii) 4a b-5b c+7c a

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  6. Add the following: (i) x – 3y – 2z , 5x + 7y – 8z , 3x – 2y + 5z

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  7. Add the following: 4ab – 5bc + 7ca, –3ab + 2bc – 3ca, 5ab – 3bc + ...

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  8. Add 2x^2-3x+1 to the sum of 3x^2-2x and 3x+7.

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  9. Add x^2+2x y+y^2 to the sum of x^2-3y^2 and 2x^2-y^2+9.

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  10. Add a^3+b^3-3 to the sum of 2a^3-3b^3-3a b+7 and a^3+3a b-9.

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  11. Subtract: 7a^2b\ from 3a^2b (ii) 4x y\ from -3x y

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  12. Subtract: -4x from 3y\ (ii) -2x\ from -5y

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  13. Subtract: 6x^3-7x^2+5x-3 from 4-5x+6x^2-8x^3 x^3+2x^2y+6x y^2-y^3 fro...

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  14. From (a) p^3-4+3p^2,\ take away 5p^2-3p^3+p-6 (b)7+x-x^2, take away...

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  15. From (a)1-5y^2, take away y^3+7y^2+y+1 (b)x^3-5x^2+3x+1, take away 6...

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  16. From the sum of 3x^2-5x+2 and -5x^2-8x+9 subtract 4x^2-7x+9.

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  17. Subtract the sum of 13 x-4y+7z and -6z+6x+3y from the sum of 6x-4y-4z ...

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  18. From the sum of x^2+3y^2-6x y ,2x^2-y^2+8x y , y^2+8 and x^2-3x y\ su...

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  19. What should be added to x y-3y z+4z x to get 4x y-3z x+4y z+7?

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  20. What should be subtracted from x^2-x y+y^2-x+y+3 to obtain x^2+y^2...

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