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

Open in App

Solution

$2 a + 6 b - 3 (a + 3 b)^{2}$
$= 2 (a + 3 b) - 3 (a + 3 b)^{2}$
$= (a + 3 b) (2 - 3 (a + 3 b))$
$= (a + 3 b) (2 - 3 a - 9 b)$

Suggest Corrections

Similar questions

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)

2 a = b

a x + b y = 2 a^{2} - 3 b^{2}, x + 2 y = 2 a - 6 b

2 a = b

a x + b y = 2 a^{2} - 3 b^{2}, x + 2 y = 2 a - 6 b

2 a = b

x + 2 y = 2 a - 6 b, a x + b y = 2 a^{2} - 3 b^{2}

Join BYJU'S Learning Program