3 years ago

X square + 4x - 5 / x square + 9x + 20

Mathematics

1 answer:

Montano1993 [528]3 years ago

3 0

Answer:

$\frac{x-1}{x+4}$

Step-by-step explanation:

Factor the numerator and denominator

x² + 4x - 5 = (x + 5)(x - 1)

x² + 9x + 20 = (x + 4)(x + 5)

Thus fraction becomes

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

Cancel the factor (x + 5) on numerator/ denominator

= $\frac{x-1}{x+4}$

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