Question

Simplify the expression

Answer 1

(3 x)/(5 x + 2)

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

The answer is
`(3x)/(5x+2)`

Explanation:

1) Factor out the common term x.

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

2) Simplify.

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

Thereofor, the answer is Option D.