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Subtract : ab-bc-ca from 3ab +2bc-4ca...

Subtract :
`ab-bc-ca` from `3ab +2bc-4ca`

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To solve the problem of subtracting \( ab - bc + ca \) from \( 3ab + 2bc - 4ca \), we can follow these steps: ### Step 1: Write the expression for subtraction We need to subtract \( ab - bc + ca \) from \( 3ab + 2bc - 4ca \). This can be written as: \[ (3ab + 2bc - 4ca) - (ab - bc + ca) \] ### Step 2: Distribute the negative sign Next, we distribute the negative sign across the second expression: \[ 3ab + 2bc - 4ca - ab + bc - ca \] ### Step 3: Combine like terms Now, we will combine the like terms: - For \( ab \): \( 3ab - ab = 2ab \) - For \( bc \): \( 2bc + bc = 3bc \) - For \( ca \): \( -4ca - ca = -5ca \) Putting it all together, we have: \[ 2ab + 3bc - 5ca \] ### Final Answer Thus, the result of subtracting \( ab - bc + ca \) from \( 3ab + 2bc - 4ca \) is: \[ \boxed{2ab + 3bc - 5ca} \] ---
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ICSE-ALGEBRAIC EXPRESSIONS-EXERCISE 13B
  1. Subtract : 5x^(2)-3xy -7y^(2) from 3x^(2)-xy-2y^(2)

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  2. Subtract : 3p^(3)-5p^(2)q from q^(2)+p^(2)q-4p^(3)

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  3. Subtract : ab-bc-ca from 3ab +2bc-4ca

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  4. Subtract : 3z^(2)-2z^(2)+7z -8 from 8-z-z^(2)

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  5. Subtract : 2abc-a^(2)-b^(2) from b^(2)+a^(2)-2abc

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  6. Subtract 6x^(3) -5x^(2)+4x-3 from the sum x+2x^(2)-3x^(3) and 2-x^(2)+...

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  7. Subtract the sum of a+2b-3c and 2c-3b-4a from the sum of 5b-4c+a and 2...

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  8. Subtract the sum of x^(2)-5xy +2y^(2) and y^(2)-2xy -3x^(2) from the s...

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  9. What should be subtracted from x+2y-3z to get 3x-2y +z?

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  10. What should be subtracted from 2x^(2)-y^(2)+4z^(2) to get x^(2)+y^(2)-...

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  11. What should be subtracted from 1+x-x^(2) to get 2x+x^(2)?

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  12. What should be added to 7a-9b+13c to get 9a+b-c?

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  13. What should be added to 1+2x-3x^(2) to get x^(2)-x-1?

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  14. What should be added to m^(2)-2mn+5n^(2) to get n^(2)+mn-m^(2)?

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  15. Find the excess of 4p^(2)-2pq +3q^(2) over 2p^(2)-pq +4q^(2).

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  16. By how much does 3x^(3)-5x^(2)+2x-3 exceed 2x^(3)-3x^(2)+x+1?

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  17. How much is -x^(2)+7y^(2)-3xy less than 2x^(2)-y^(2)+xy?

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  18. How much is x^(3)-3x^(2)+5x-2 less than 3-2x+x^(2)-x^(3)?

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  19. If x=2a^(2)+3b^(2)-5ab, y=b^(2)-3a^(2)+7ab and z=6a^(2)-b^(2)+ab, find...

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  20. If x=2a^(2)+3b^(2)-5ab, y=b^(2)-3a^(2)+7ab and z=6a^(2)-b^(2)+ab, find...

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