Mathematics: What is the GCF of the numerator & denominator below? (x-2)(x+3)/x^2+4x+3

answer is b. makes the most sense...

What is the GCF of the numerator & denominator

likevlad2014

26.03.2021

GCD of given expressions is (x+3)

Step-by-step explanation:

let's simply the denominator : -

=》

${x}^{2} + 4x + 3$

=》

$x {}^{2} + 3x + x + 3$

=》

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

=》

(x + 1)(x + 3)

so, by plugging (x + 1) (x + 3) in denominator,

=》

$\frac{(x - 2)(x + 3)}{(x + 1)(x + 3)}$

and here, we can see that the only common factor in both numerator and denominator is

(x + 3)

so, GCD = (x + 3)

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