Simplify :
$3 a + 5 b - [2 a - 3 b - \{5 a - 6 b - (2 a - 3 b)\}]$

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Solution

$= 3 a + 5 b - [2 a - 3 b - \{5 a - 6 b - (2 a - 3 b)\}] = 3 a + 5 b - [2 a - 3 b - \{5 a - 6 b - 2 a + 3 b\}] (o n r e m o v i n g t h e p a r e n t h e s e s) = 3 a + 5 b - [2 a - 3 b - 5 a + 6 b + 2 a - 3 b] (o n r e m o v i n g t h e c u r l y b r a c k e t) = 3 a + 5 b - 2 a + 3 b + 5 a - 6 b - 2 a + 3 b (o n r e m o v i n g t h e s q u a r e b r a c k e t) = 4 a + 5 b$

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2 a + 6 b - 3 (a + 3 b)^{2}

2 a + 6 b - 3 (a + 3 b)^{2}

= 2 (a + 3 b) - 3 (a + 3 b)^{2} [T a k i n g 2 c o m m o n f r o m 2 a + 6 b]

= (a + 3 b) {\begin{matrix} 2 - 3 (a + 3 b) \end{matrix}} [T a k i n g (a + 3 b) c o m m o n]

= (a + 3 b) (2 - 3 a - 9 b)

Simplify :

$2 a - 9 b - [6 a - 5 b + \{7 a - 12 b - (2 a - \bar{3 b - 4 c)}\}]$

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