Mathematics: (1/x-4)• (-x^2+9x-20/x+2) (multiplying and dividing rational expressions)

(1/x-4)• (-x^2+9x-20/x+2) (multiplying and dividing

Ответ:

Ksedro1998

07.01.2022

Mathematics

ANSWER

$\frac{5 - x}{x + 2}$

EXPLANATION

We want to simplify the rational expression:

$( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 9x - 20}{x + 2} )$

We split the middle term to obtain:

$( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 5x + 4x- 20}{x + 2} )$

We now factor to obtain;

$( \frac{1}{x - 4)} )( \frac{-x(x - 5) + 4(x - 5)}{x + 2} )$

$( \frac{1}{x - 4)} )( \frac{(x - 5)(4 - x)}{x + 2} )$

$( \frac{1}{x - 4)} ) ( \frac{ - (x - 5)(x - 4)}{x + 2} )$

We cancel the common factors to get;

$\frac{ - (x - 5)}{x + 2}$

$= \frac{5 - x}{x + 2}$

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Ответ:

10040813

11.12.2021

Mathematics

When looking at a # line it goes up or down so ex of a # line -3, -2, -1, 0, 1, 2, 3 so on a # line 11.1, 11.2, 11.3, 11.4, 11.5, 11.6 ,11.7 so going from zero 11.6 is larger than 11.3 so 11.6 is greater than 11.3

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(1/x-4)• (-x^2+9x-20/x+2)
(multiplying and dividing rational expressions)

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