Simplify the given expression. $(x -\frac{2}{x})^3 - ( x + \frac{2}{x})^3$ |
$-4(3x +\frac{4}{x^3})$ $4(3x -\frac{4}{x^3})$ $-4(x +\frac{4}{x^3})$ $2(x -\frac{4}{x^3})$ |
$-4(3x +\frac{4}{x^3})$ |
$(x -\frac{2}{x})^3 - ( x + \frac{2}{x})^3$ Put the value of x = 1 and satisfy from the options , $(x -\frac{2}{x})^3 - ( x + \frac{2}{x})^3$ = $(1 -\frac{2}{1})^3 - (1 + \frac{2}{1})^3$ = -28 Now check from the options , and if we choose $-4(3x +\frac{4}{x^3})$ $-4(3x +\frac{4}{x^3})$ = $-4(3(1) +\frac{4}{1^3})$ = -28 (Satisfied) So the value of $(x -\frac{2}{x})^3 - ( x + \frac{2}{x})^3$ = $-4(3x +\frac{4}{x^3})$ |