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Add the following expressions: a^2 + 3...

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

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

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

Find the values of each of the following expressions for a=1,b=2 and c=-1a^(3)+b^(3)+c^(3)-3abca^(2)+b^(2)+c^(2)-ab-bc-ca

If a+b-c = 12 and a^2+b^2+c^2=110 , then which among the following relations is true ? यदि a+b-c = 12 और a^2+b^2+c^2=110 है, तो निम्न में से कौन सा संबंध सही है ? (p) ab+bc+ca = 3 (q)ab+bc-ca = 17 (r) ab-bc+ca = 17 (s) ab-bc-ca = 17

Verify that (ab+ bc) (ab- bc) + (bc+ ca) (bc- ca) + (ca + ab) (ca- ab) = 0

Find the value of a^3 + b^3 + c^3 - 3abc if a + b + c = 12 and ab + bc + ca = 47 .

NCERT EXEMPLAR-ALGEBRAIC EXPRESSIONS-Exercise
  1. Add the following expressions: p^2qr + pq^2r + pqr^2 and - 3pq^2r -...

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

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

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

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

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

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

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

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

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  10. Subtract ab-bc-ca " from " -ab+bc+ca.

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

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  12. Subtract x^3y^2+3x^2y^3-7xy^3 " from " x^4+y^4+3x^2y^2-xy^3.

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  13. Subtract 2(ab+bc+ca) " from " -ab-bc-ca.

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  14. Subtract 4.5x^5-3.4x^2+5.7 " from " 5x^4-3.2x^2-7.3x.

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  15. Subtract 11-15y^2 " from " y^3-15y^2-y-11.

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  16. What should be added to x^3 + 3x^2y + 3xy^2 + y^3 " to get " x^3 + y^3...

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  17. What should be added to 3pq + 5p^2 q^2 + p^3 " to get " p^3 + 2p^2q^2 ...

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  18. What should be subtracted from 2x^3 - 3x^2y + 2xy^2 + 3y^3 " to get " ...

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  19. What should be subtracted from -7mn + 2m^2 + 3n^2 " to get " m^2 + 2mn...

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  20. How much is 21a^3 - 17 a^2 " less than " 89a^3 - 64a^2 + 6a + 16 ?

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