buccu buccu
  • 26-03-2021
  • Mathematics
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What is the GCF of the numerator & denominator below?

(x-2)(x+3)/x^2+4x+3

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devishri1977
devishri1977 devishri1977
  • 26-03-2021

Answer:

Step-by-step explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3    {1*3 = 3 and  1+3 = 4}

x² + 4x + 3 = x² + x    + 3x + 1*3

                 = x(x + 1) + 3(x + 1)

                 = (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)

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