Add the following
$5 a - 6 b, 2 a - 3 b, - a + 4 b$

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Solution

To add two or more algebraic expressions, group the like terms of the expression and add each group of like terms separately.
The Sum
$= (5 a - 6 b) + (2 a - 3 b) + (- a + 4 b) = (5 a + 2 a - a) + (- 6 b - 3 b + 4 b)$ (grouping the like terms)
adding the numerical coefficient of like terms
$= (5 + 2 - 1) a + (- 6 - 3 + 4) b$
$= (7 - 1) a + (- 9 + 4) b = 6 a + (- 5) b = 6 a - 5 b$

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