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rewona [7]
3 years ago
12

Simplify the expression

Mathematics
2 answers:
Ronch [10]3 years ago
8 0

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)

zvonat [6]3 years ago
3 0

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}

<u>Thereofor, the answer is </u><u>Option D.</u>

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