Simplify the following expression completely. (x^(2)-4x+3)/(x^(2)-5x+4) Answer:

Identify Factorization: Identify the factorization of the numerator and the denominator. The numerator x^2 - 4x + 3 can be factored into (x - 1)(x - 3). The denominator x^2 - 5x + 4 can be factored into (x - 1)(x - 4).Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. The common factor (x - 1) can be canceled from both the numerator and the denominator. This leaves us with (x - 3)/(x - 4).Check Further Simplifications: Check for any further simplifications. There are no further simplifications possible, as (x - 3) and (x - 4) are both irreducible and have no common factors.

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Simplify the following expression completely.

(x^(2)-4x+3)/(x^(2)-5x+4)
Answer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}-4 x+3}{x^{2}-5 x+4}$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify the following expression completely.

\newline

\frac{x^{2}-4 x+3}{x^{2}-5 x+4}

\newline

Answer:

Identify Factorization: Identify the factorization of the numerator and the denominator. $\newline$ The numerator $x^2 - 4x + 3$ can be factored into $(x - 1)(x - 3)$ . $\newline$ The denominator $x^2 - 5x + 4$ can be factored into $(x - 1)(x - 4)$ .
Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. $\newline$ The common factor $(x - 1)$ can be canceled from both the numerator and the denominator. $\newline$ This leaves us with $\frac{x - 3}{x - 4}$ .
Check Further Simplifications: Check for any further simplifications. $\newline$ There are no further simplifications possible, as $(x - 3)$ and $(x - 4)$ are both irreducible and have no common factors.