Question

3*​x/​(3*​x^​2+​4*​x+​1)

Answer 1

1 крок -дивись малюнок

2 крок -дивись малюнок

3 крок - скоротіть

спільний дільник на 3

х

_______________

х^3+4х

4 крок скоротіть х ⬇️

Результат:

$\frac{1}{ \sqrt{3 + } 4}$

Answer 2

To simplify the expression 3x/(3x^2+4*x+1), we can factorize the denominator and cancel out common factors.

Let's factorize the denominator: 3x^2 + 4x + 1 = (3x + 1)(x + 1)

Now, the expression becomes: 3x / [(3x + 1)*(x + 1)]

We can cancel out the common factor of (3x) in the numerator and denominator: (3x) / [(3x + 1)(x + 1)] = 1 / [(3x + 1)(x + 1)]

Therefore, the simplified form of the expression 3x/(3x^2+4x+1) is 1 / [(3x + 1)*(x + 1)].