Question

g(s)
$g(s) = 4s { - 4s + 1}^{2}$

Answer 1

${(2s - 1)}^{2}$

Answer 2

$4s ^{2} - 4s + 1 \\ \\ = 4s^{2} - (2 + 2) + 1 \\ \\ = 4s^{2} - 2s - 2s + 1 \\ \\ = 2s (2s - 1) - 1(2s - 1) \\ \\ = (2s - 1) \: (2s - 1) \\ \\ = (2s - 1)^{2}$

Hope it will help you .