Question

resolve into factors-(2a-3b)^2-16b^2​

Answer 1

Given :

• (2a-3b)²-16b²

To Find :

• Factories (2a-3b)²-16b²

Solution :

$\: \: \: \: \sf \: \: \: \: \bigg(2a-3b \bigg)^2-16b^2$

$\sf \longrightarrow \bigg(2a-3b \bigg)^2- { \bigg(4b \bigg)}^{2}$

$\sf\longrightarrow \bigg \{2a - 3b + 4b \bigg \} \bigg \{2a - 3b - 4b \bigg \}$

$\sf\longrightarrow \bigg \{2a + b \bigg \} \bigg \{2a - 7b \bigg \}$