Question

Simplify the expression

Answer 1

Answer:

(3 x)/(5 x + 2)

Step-by-step explanation:

Simplify the following:

(3 x^2)/(5 x^2 + 2 x)

Hint: | Factor common terms out of 5 x^2 + 2 x.

Factor x out of 5 x^2 + 2 x:

(3 x^2)/(x (5 x + 2))

Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).

Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):

(3 x^(2 - 1))/(5 x + 2)

Hint: | Evaluate 2 - 1.

2 - 1 = 1:

Answer:  (3 x)/(5 x + 2)

Answer 2

Answer:

The answer is $\frac{3x}{5x+2}$

Step-by-step explanation:

1) Factor out the common term x.

$\frac{3x^{2} }{x(5x+2)}$

2) Simplify.

$\frac{3}{5x+2}$

Thereofor, the answer is Option D.