Question

question 1 - 1 point

add: \\(\frac{x}{2x - 3} + \frac{x}{2x + 3}\\).

provide your answer below:

Explanation:

Find the least common denominator

Using the Least Common Denominator knowledge point

$$ \text{LCD} = (2x - 3)(2x + 3) $$

Rewrite each expression with the LCD

Using the Equivalent Rational Expressions knowledge point

$$
LATEXBLOCK0
$$

Add the numerators

Using the Adding Rational Expressions knowledge point

$$
LATEXBLOCK1
$$

Expand the denominator

Using the Difference of Squares knowledge point

$$ (2x - 3)(2x + 3) = 4x^2 - 9 $$

$$ \frac{4x^2}{4x^2 - 9} $$

Answer:

$$\frac{4x^2}{4x^2 - 9}$$