What should be subtracted from $2 a + 6 b - 5$ to get $- 3 a + 2 b + 3$ ?

5 + 4 b - 8

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5 a + 4 b - 8

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5 a + 4 a b - 8

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5 a + 4 b - 10

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Solution

The correct option is B $5 a + 4 b - 8$
Let $X = - 3 a + 2 b + 3$ and $Y = 2 a + 6 b - 5$
Let $Z$ be the required expression
Now, $X = Y - Z$
$=> Z = Y - X$
Thus,
$2 a + 6 b - 5 - (- 3 a + 2 b + 3)$
$= 2 a + 6 b - 5 + 3 a - 2 b - 3$
$= 5 a + 4 b - 8$

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