Question

Factorize 2a^2 b + 4ab^2 - 2ab - 4b^2​

Answer 1

Answer:

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

Step-by-step explanation:

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

                                     $= (a + 2b)(2ab - 2b)$

                                     $= (a + 2b)2b(a - 1)$

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