Question

X^2-6x разделить x^2-36 - x разделить x+6

Answer 1

Ответ:0

Пошаговое объяснение:

$\frac{x*(x-6)}{(x-6)*(x+6)}-\frac{x}{x+6} = \\= \frac{x}{x+6} -\frac{x}{x+6} =0$

Answer 2

To divide the expressions, we need to perform polynomial division. The expression can be written as:

$\frac{x^2 - 6x}{x^2 - 36} - \frac{x}{x + 6}$

Let's proceed with the division step by step:

Step 1: Factor the denominators to simplify the expressions.

$x^2 - 36$ can be factored as the difference of squares: $x^2 - 36 = (x + 6)(x - 6)$

Step 2: Now rewrite the expression:

$\frac{x^2 - 6x}{x^2 - 36} - \frac{x}{x + 6} = \frac{x^2 - 6x}{(x + 6)(x - 6)} - \frac{x}{x + 6}$

Step 3: Find a common denominator for both fractions, which is $(x + 6)(x - 6)$:

$\frac{x^2 - 6x}{(x + 6)(x - 6)} - \frac{x}{x + 6} = \frac{x^2 - 6x - x(x - 6)}{(x + 6)(x - 6)}$

Step 4: Simplify the numerator by combining like terms:

$\frac{x^2 - 6x - x(x - 6)}{(x + 6)(x - 6)} = \frac{x^2 - 6x - x^2 + 6x}{(x + 6)(x - 6)}$

Step 5: The x^2 terms cancel out, and we're left with:

$\frac{x^2 - 6x - x^2 + 6x}{(x + 6)(x - 6)} = \frac{0}{(x + 6)(x - 6)}$

Step 6: Anything divided by zero is undefined, so the final result is:

$\frac{x^2 - 6x}{x^2 - 36} - \frac{x}{x + 6} = \text{Undefined}$

Thus, the expression cannot be simplified further as it is undefined due to division by zero.