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Question

Subtract (3x + 4xy - 2y) from (6x + 8xy - 6y + 2y + 5).

A
3x + 2xy - 2y + 5
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B
3x +12xy - 2y + 5
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C
3x + 4xy - 2y + 5
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D
3x + 4xy - 8y + 5
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Solution

The correct option is C 3x + 4xy - 2y + 5
To subtract (3x + 4xy - 2y) from (6x + 8xy - 6y + 2y + 5),
we change the sign of every term in the expression (3x + 4xy - 2y) and then add it to (6x + 8xy - 6y + 2y + 5), following the rules of addition of two algebraic expressions.
First simplify the expression (6x + 8xy - 6y + 2y + 5) = 6x + 8xy - 4y + 5
6x + 8xy - 4y + 5
3x + 4xy - 2y + 0
(-) (-) (+) (-)
___________________
3x + 4xy - 2y + 5
Hence the difference between the two expressions is (3x + 4xy - 2y + 5).

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