Write the Rational Expression in simplest form. (x^2-x-6)/(24-5x-x^2)

Question

Write the Rational Expression in simplest form.
`(x^2-x-6)/(24-5x-x^2)`

Answer 1

-(x+2)/(x+8)

Explanation:

( x^2 -x-6)

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24 - 5x -x^2

Factor out a minus sign from the denominator

( x^2 -x-6)

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-( x^2 +5x -24)

Factor the numerators and the denominators

( x-3) (x+2)

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-( x+8)(x-3)

Cancel like terms

x+2

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-(x+8)