Evaluate:

$(i i i)$ $(8 a + 15 b) - (3 b - 7 a)$

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Solution

$Step:$ Simplify the expression

By grouping the terms having the same literals and adding, we get,

$(8 a + 15 b) - (3 b - 7 a) = 8 a + 15 b - 3 b + 7 a$

$= (8 a + 7 a) + (15 b - 3 b)$

$= a (8 + 7) + b (15 - 3)$

$= 15 a + 12 b$

Hence, $(8 a + 15 b) - (3 b - 7 a) = 15 a + 12 b$

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