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Coordinate Axes in Three Dimensional Space

-3a+b+42a-3b-...

Question

Evaluate: $- 3 (a + b) + 4 (2 a - 3 b) - (2 a - b)$

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Solution

We have, $- 3 (a + b) + 4 (2 a - 3 b) - (2 a - b)$
$= - 3 a - 3 b + 8 a - 12 b - 2 a + b$
$= - 3 a + 8 a - 2 a - 3 b - 12 b + b$
$= 8 a - 5 a - 15 b + b$
$= 3 a - 14 b$

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