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Special Integrals - 2

Simplify :2a-...

Question

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

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Solution

$= 2 a - 9 b - [6 a - 5 b + \{7 a - 12 b - (2 a - \bar{3 b - 4 c)}\}] = 2 a - 9 b - [6 a - 5 b + \{7 a - 12 b - (2 a - 3 b + 4 c\}] (o n r e m o v i n g t h e b a r) = 2 a - 9 b - [6 a - 5 b + \{7 a - 12 b - 2 a + 3 b - 4 c\}] (o n r e m o v i n g t h e p a r e n t h e s e s) = 2 a - 9 b - [6 a - 5 b + 7 a - 12 b - 2 a + 3 b - 4 c] (o n r e m o v i n g t h e c u r l y b r a c k e t) = 2 a - 9 b - 6 a + 5 b - 7 a + 12 b + 2 a - 3 b + 4 c (o n r e m o v i n g t h e s q u a r e b r a c k e t) = - 9 a + 5 b + 4 c$

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(i) $(3 x - 4 y + 5 z)^{2}$

(ii) $(2 a - 5 b - 4 c)^{2}$

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$(v)$ $6 a^{2} - 3 b^{2} + 2 a^{2} + 5 b^{2} - 4 a^{2}$

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

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