Quadratic Difference Factorization

Example 01

Factorize $9 b^{2} - 400$

$\begin{aligned} (3 b)^{2} - 20^{2} \\ (3 b + 20) (3 b - 20) \end{aligned}$

Example 02

Factorize $\frac{16}{25} - 4 p^{2}$

$\begin{aligned} {(\frac{4}{5})}^{2} - (2 p)^{2} \\ (\frac{4}{5} + 2 p) (\frac{4}{5} - 2 p) \end{aligned}$

Example 03

Expand $(4 x + 5) (4 x - 5)$

$\begin{aligned} (4 x)^{2} - 5^{2} \\ 16 x^{2} - 25 \end{aligned}$

Example 04

Expand $(7 m^{2} - 6 n^{3}) (7 m^{2} + 6 n^{3})$

$\begin{aligned} (7 m^{2})^{2} - (6 n^{3})^{2} \\ 49 m^{4} - 36 n^{6} \end{aligned}$