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Subtract : 4xy^(2) from 3xy^(2)...

Subtract :
`4xy^(2)` from `3xy^(2)`

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To solve the problem of subtracting \( 4xy^2 \) from \( 3xy^2 \), we will follow these steps: ### Step-by-Step Solution: 1. **Identify the Expression to Subtract**: We need to subtract \( 4xy^2 \) from \( 3xy^2 \). This means we will write the expression as: \[ 3xy^2 - 4xy^2 \] 2. **Check for Like Terms**: Both terms \( 3xy^2 \) and \( 4xy^2 \) are like terms because they have the same variable \( x \) and \( y \) raised to the same power (2). 3. **Perform the Subtraction**: Now we can subtract the coefficients of the like terms: \[ 3 - 4 = -1 \] Therefore, we have: \[ 3xy^2 - 4xy^2 = -1xy^2 \] 4. **Write the Final Answer**: The final answer can be simplified to: \[ -xy^2 \] ### Final Answer: \[ -xy^2 \]
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ICSE-ALGEBRAIC EXPRESSIONS -Exercise 11 (B)
  1. Add : x^(3) - x^(2)y + 5xy^(2) + y^(3) , -x^(3) - 9xy^(2) + y^(3), 3...

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  2. Find the total savings of a boy who saves Rs. (4x - 6y), Rs (6x + 2y),...

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  3. Subtract : 4xy^(2) from 3xy^(2)

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  4. Subtract : -2x^(2)y + 3xy^(2) from 8x^(2)y

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  5. Subtract : 3a - 5b + c + 2d from 7a - 3b + c - 2d

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  6. Subtract : x^(3) - 4x - 1 from 3x^(3) - x^(2) + 6

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  7. Subtract : 6a + 3 from a^(3) - 3a^(2) + 4a + 1

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  8. Subtract : cab - 4cad - cbd from 3abc + 5bcd - cda

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  9. Subtract : a^(2) + ab + b^(2) from 4a^(2) - 3ab + 2b^(2)

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  10. Take away -3x^(3) + 4x^(2) - 5x + 6 from 3x^(3) - 4x^(2) + 5x - 6

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  11. Take m^(2) + m + 4 from -m^(2) + 3m + 6 and the result from m^(2) + m ...

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  12. Subtract the sum of 5y^(2) + y - 3 and y^(2) - 3y + 7 from 6y^(2) + y ...

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  13. What must be added to x^(4) - x^(3) + x^(2) + x + 3 to obtain x^(4) + ...

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  14. How much more than 2x^(2) + 4xy + 2y^(2) is 5x^(2) + 10xy - y^(2) ?

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  15. How much less 2a^(2) + 1 is than 3a^(2) - 6 ?

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  16. If x = 6a + 8b + 9c, y = 2b - 3a - 6c and z = c - b + 3a, find : x +...

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  17. If x = 6a + 8b + 9c, y = 2b - 3a - 6c and z = c - b + 3a, find : x -...

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  18. If x = 6a + 8b + 9c, y = 2b - 3a - 6c and z = c - b + 3a, find : 2x ...

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  19. If x = 6a + 8b + 9c, y = 2b - 3a - 6c and z = c - b + 3a, find : 3y ...

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  20. The sides of a triangle are x^(2) - 3xy + 8, 4x^(2) + 5xy - 3 and 6 - ...

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