Question

Решить13/2х-3 - 2х/х^2 -9

Answer 1

Ответ:

х2-2х=х+2х=х+2-х2-2х+х2-2=0

Answer 2

To solve the expression, we need to simplify it step by step. The given expression is:

(13/2)x - 3 - (2x / (x^2 - 9))

First, we should factor the denominator of the second fraction, which is a difference of squares:

x^2 - 9 = (x + 3)(x - 3)

Now, the expression becomes:

(13/2)x - 3 - (2x / ((x + 3)(x - 3)))

Next, let's find a common denominator for both fractions. The common denominator is (2(x + 3)(x - 3)):

[(13/2)x * (2(x + 3)(x - 3)) - 3 * (2(x + 3)(x - 3)) - (2x)] / (2(x + 3)(x - 3))

Now, let's expand the first two terms in the numerator:

(13/2)x * (2(x + 3)(x - 3)) = 13x(x + 3)(x - 3)

• 3 * (2(x + 3)(x - 3)) = -6(x + 3)(x - 3)

The expression now becomes:

[13x(x + 3)(x - 3) - 6(x + 3)(x - 3) - 2x] / (2(x + 3)(x - 3))

Next, combine like terms in the numerator:

[13x(x + 3)(x - 3) - 6(x + 3)(x - 3) - 2x] / (2(x + 3)(x - 3))

= [(13x(x + 3)(x - 3) - 6(x + 3)(x - 3) - 2x) / (2(x + 3)(x - 3))]

Now, let's factor out the common term (x + 3)(x - 3) from the numerator:

= [(x + 3)(x - 3) * (13x - 6) - 2x] / (2(x + 3)(x - 3))

Now, the (x + 3)(x - 3) terms in the numerator and denominator cancel each other out:

= (13x - 6 - 2x) / 2

Simplify further by combining like terms:

= (13x - 2x - 6) / 2

= (11x - 6) / 2

So, the simplified expression is:

(11x - 6) / 2