Subtract the sum of (x + 2y - 7xy + 5z ) and (- 6x + 9y - 24xy - 9z) from the sum of (5x + 2xy + 4y) and (7x - 16xy + 6y + 6z).

(17x + 7xy - y + 10z)

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(17x + 17xy - y + 10z)

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(17x + 17xy - 2y - 10z)

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(17x + 17xy - y - 10z)

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Solution

The correct option is B (17x + 17xy - y + 10z)

Sum of first two expressions is
x + 2y - 7xy + 5z
- 6x + 9y - 24xy - 9z

(- 5x + 11y - 31xy - 4z) ---(1)

Sum of last two expressions,
5x + 2xy + 4y + 0z
7x - 16xy + 6y + 6z

(12x - 14xy + 10y + 6z)---(2)

Subtract equation (1) from (2),

12x - 14xy + 10y + 6z
- 5x - 31xy + 11y - 4z
(+) (+) (-) (+)
____
(17x + 17xy - y + 10z)

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