Question

factorize 4 [ x/y + y/x] ^2 -23 [ x/y + y/x ] -6​

Answer 1

Answer:

$4 {( \frac{x}{y} + \frac{y}{x} )}^{2} - 23(\frac{x}{y} + \frac{y}{x} ) - 6 = \\ 4(\frac{x}{y} + \frac{y}{x} ) {}^{2} - 24(\frac{x}{y} + \frac{y}{x} ) + (\frac{x}{y} + \frac{y}{x} ) - 6 = \\4 (\frac{x}{y} + \frac{y}{x} )(\frac{x}{y} + \frac{y}{x} - 6) + 1(\frac{x}{y} + \frac{y}{x} - 6 ) = \\ (\frac{x}{y} + \frac{y}{x} - 6 )4(\frac{x}{y} + \frac{y}{x} + 1)$