Question

Which of the following is equal to the rational expression when X not equal -4 or 3?
x2 - 4x + 3
X^2+ X - 12

Answer 1

Answer:

A

Step-by-step explanation:

Given

$\frac{x^2-4x+3}{x^2+x-12}$

Factorise the numerator and denominator

x² - 4x + 3 = (x - 1)(x - 3)

x² + x - 12 = (x + 4)(x - 3), thus

= $\frac{(x-1)(x-3)}{(x+4)(x-3)}$ ← cancel (x - 3) on numerator/denominator

= $\frac{x-1}{x+4}$ → A

Answer 2

Rational expression are written as fractions. The simplified form of the expression is $\frac{x-1}{x+4}$

Rational expressions

Rational expression are written as fractions.

Given the rational expression

$\dfrac{x^2-4x+3}{x^2+x-12}$

Factorize the numerator and denominator

$=\dfrac{x^2-4x+3}{x^2+x-12}\\=\dfrac{x^2-3x-x+3}{x^2+4x-3x-12}\\=\frac{(x-3)(x-1)}{(x+4(x-3)} \\=\frac{x-1}{x+4}$

Hence the simplified form of the expression is $\frac{x-1}{x+4}$

Learn more on rational fractions here;  https://brainly.com/question/12088221

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