Question

factorización de la expresión 16/9 x² - 1/25​

Answer 1

$\frac{16x^{2} }{9} - \frac{1}{25}\\\\(\frac{4x}{3}+\frac{1}{5}) (\frac{4x}{3}-\frac{1}{5})$

Eternamente axllxa

Answer 2

Explicación paso a paso:

$\frac{16x {}^{2} }{9} - \frac{1}{25} = 0 \\ \frac{16x {}^{2} }{9} = \frac{1}{25} \\ \frac{400x {}^{2} }{225} = \frac{9}{225} \\ 400x {}^{2} = 9 \\ x {}^{2} = \frac{9}{400} ....x = + - \sqrt{ \frac{9}{400} } \\ x = + - \frac{3}{20} \\ (x - \frac{3}{20} )(x + \frac{3}{20} ) \\ (20x - 3)(20x + 3)$