The rational expression is 
From the question, we have

The numerator and denominator of the given expression should be multiplied by the same factor (x+2).

Rational expression:
The ratio of two polynomials is displayed in rational expressions. It indicates that the denominator and numerator are polynomials. It is an algebraic expression that has a ratio and an unknown variable, just like a fraction. Although we can simplify this kind of equation with the aid of a calculator.
Factoring the numerator and denominator is the first step in reducing rational equations to their reduced form. Next, lessen or eliminate the expressions' shared elements.
Complete question: Select the rational expression that is equivalent to the given expression below.
4 / x - 3
A.) x + 2 / x - 3 ÷ 4 / x + 2
B.) x + 2 / x - 3 · 4 / x + 2
C.) x + 2 / x - 3 - 4 / x + 2
D.) x + 2 / x - 3 + 4 / x + 2
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The answer is 0.73 hope it helps
The equation of the hyperbola is : 
The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)
As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin:
The distance from center to focus is 'c' and here focus is at (-50,0)
So, c= 50
Now if the distance from center to the directrix line is 'd', then

Here the directrix line is given as : x= 2304/50
Thus, 
⇒ 
⇒ a² = 2304
⇒ a = √2304 = 48
For hyperbola, b² = c² - a²
⇒ b² = 50² - 48² (By plugging c=50 and a = 48)
⇒ b² = 2500 - 2304
⇒ b² = 196
⇒ b = √196 = 14
So, the equation of the hyperbola is : 