$Factorise: a^{2} + 4 b^{2} - 4 a b - 9 c^{2}$

Open in App

Solution

$a^{2} + 4 b^{2} - 4 a b - 9 c^{2}$

$\Rightarrow [a^{2} - 2 \times 2 a \times b + (2 b)^{2}] - 9 c^{2}$

$\Rightarrow (a - 2 b)^{2} - (3 c)^{2}$

$\Rightarrow (a - 2 b + 3 c) (a - 2 b - 3 c)$

Suggest Corrections

Similar questions

Factorise:
$a^{2} + 2 a b + b^{2} - 9 c^{2}$

Factorise:

$(a^{2} - 1) (b^{2} - 1) + 4 a b$

4 a^{2} - 4 a b + b^{2} - 9 c^{2} + 12 c d - 4 d^{2}

9 c - a^{2} + 4 a b - 4 b^{2}

4 a^{2} + b^{2} + 9 c^{2} - 4 a b - 6 b c + 12 c a

Join BYJU'S Learning Program