Question

reducir: (4x + \frac{1}{x})² - (4x - \frac{1}{x})² x\neq0

Answer 1

Respuesta:

16

Explicación paso a paso:

$(4x + \frac{1}{x})^2 - (4x - \frac{1}{x})^2\\\\~[(4x+\frac{1}{x})+(4x-\frac{1}{x})][(4x+\frac{1}{x})-(4x-\frac{1}{x})]\\\\(4x+\frac{1}{x}+4x-\frac{1}{x})(4x+\frac{1}{x}-4x+\frac{1}{x})\\\\(8x)(\frac{2}{x})\\\\\frac{16x}{x}\\\\16$