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

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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RD SHARMA-ALGEBRAIC EXPRESSIONS-All Questions
  1. Add the following: 4ab – 5bc + 7ca, –3ab + 2bc – 3ca, 5ab – 3bc + ...

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

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  3. 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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  4. 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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  5. Subtract: 7a^2b\ from 3a^2b (ii) 4x y\ from -3x y

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

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  7. 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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  8. 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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  9. 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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  10. From the sum of 3x^2-5x+2 and -5x^2-8x+9 subtract 4x^2-7x+9.

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

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

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

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  15. How much is x-2y+3z greater than 3x+5y-7?

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  16. How much is x^2-2x y+3y^2 less than 2x^2-3y^2+x y ?

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  17. How much does a^2-3a b+2b^2 exceed 2a^2-7a b+9b^2?

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  18. What must be added to 12 x^3-4x^2+3x-7 to make the sum x^3+2x^2-3x+2?

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  19. If P=7x^2+5x y-9y^2,\ Q=4y^2-3x^2-6x y and R=-4x^2+x y+5y^2, show that...

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  20. If P=7x^2+5xy-9y^2 ,\ Q=4y^2-3x^2-6x y\ and R=-4x^2+x y+5y^2,\ s how\...

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