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If x = 6a + 8b + 9c, y = 2b - 3a - 6c an...

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

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The correct Answer is:
`6a + 17b + 21c`
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ICSE-ALGEBRAIC EXPRESSIONS -Exercise 11 (B)
  1. Subtract : x^(3) - 4x - 1 from 3x^(3) - x^(2) + 6

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The perimeter of a triangle is 8y^(2) - 9y + 4 and its two sides are 3...

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  17. The two adjacent sides of a rectangle are 2x^(2) - 5xy + 3z^(2) and 4x...

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  18. What must be subtracted from 19x^(4) + 2x^(3) + 30x - 37 to get 8x^(4)...

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  19. How much smaller is 15x - 18y + 19z than 22x - 20y - 13 z + 26 ?

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  20. How much bigger is 5x^(2)y^(2) - 18xy^(2) - 10x^(2)y than -5x^(2) + 6x...

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