Question

Simplify a^2 +4b^2- 3a +6b-4ab

Answer 1

${a}^{2} + 4 {b}^{2} - 3a + 6b - 4ab$

$= {a}^{2} + 4 {b}^{2} - 4ab - 3a + 6b$

$={(a)}^{2} + {(2b)}^{2} - 2 \times a \times 2b - 3(a - 2b)$

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

$= (a - 2b)(a - 2b - 3)$