Question

factorise 4ax2+12ax+9a​

Answer 1

$4a(x)^{2} + 6ax + 6ax + 9a \\ 2ax(2x + 3) + 3a(2x + 3) \\ (2x + 3)(2ax + 3a) = 0 \\ 2x + 3 = 0 \: \: or \: 2ax + 3a = 0 \\ x = - 3 \div 2 \: or - 3a \div 2a \\ x = - 3 \div 2$