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What should be added to a^2+2a b+b^2 to ...

What should be added to `a^2+2a b+b^2` to obtain `4a b+b^2?`

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RD SHARMA-ALGEBRAIC EXPRESSIONS-All Questions
  1. Subtract: x^2-3x y+7y^2-2 from 6x y-4x^2-y^2+5

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  2. From the sum of 4x^4-3x^3+6x^2,\ 4x^3+4x-3 and -3x^4-5x^2+2x subtract ...

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  3. What should be added to a^2+2a b+b^2 to obtain 4a b+b^2?

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  4. What should be subtracted from a^3-4a^2+5a-6 to obtain a^2-2a+1?

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  5. How much is x^3-2x^2+x+4 greater than 2x^3+7x^2-5x+6?

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  6. How much is 2a^2-7a+5 less than a^3-3a^2+2a-3?

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  7. How much does 2a^2-5a+4 exceed 3a^3-5a^2+7a-9?

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  8. Add the following: 3x\ a n d\ 7x (ii) -5x y\ a n d\ 9x y

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  9. Simplify each of the following: 7x^3y+9y x^3 (ii) 12 a^2b+3b a^2

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

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

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

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

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

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

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

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  17. 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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  18. 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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  19. Subtract: 7a^2b\ from 3a^2b (ii) 4x y\ from -3x y

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

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