Question

a2x - 4b2x + 2a2y - 8b2y

Answer 1

=(2x.4b2x)+(2a2y-8b2y)
=2x(1-4b)+2a2b(1-4b)
=(2x+2a2b)(1-4b)

Answer 2

$a^{2} x - 4 b^{2} x + 2 a^{2} y - 8 b^{2} y$

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

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

(a+2b)(a-2b)(x+2y)