Question

(3х² )+2х-1)/(5х²+ 6х+1)

Answer 1

Відповідь:

Пояснення:

Answer 2

The expression you've provided is a rational function (also known as a rational expression) in terms of the variable "x". It's a fraction where both the numerator and the denominator are polynomial expressions. To simplify the expression, you can factor the polynomials in the numerator and denominator and then cancel out any common factors.

Let's start by factoring the numerator and the denominator:

Numerator: $3x^2 + 2x - 1$ Denominator: $5x^2 + 6x + 1$

The numerator cannot be factored further, so we'll focus on factoring the denominator:

Denominator: $5x^2 + 6x + 1$

This can be factored as $(5x + 1)(x + 1)$.

Now we can rewrite the original expression with factored forms:

$\frac{3x^2 + 2x - 1}{5x^2 + 6x + 1} = \frac{3x^2 + 2x - 1}{(5x + 1)(x + 1)}$

At this point, no further simplification is possible because there are no common factors between the numerator and the denominator. The expression is already in its simplest form.

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