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Gekata [30.6K]
3 years ago
9

Simplify quantity x squared plus 5 x plus 6 end quantity over quantity x plus 2

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

c

Step-by-step explanation:

Given

\frac{x^2+5x+6}{x+2}

Factor the numerator

x² + 5x + 6 = (x + 2)(x + 3) , thus

= \frac{(x+2)(x+3)}{x+2}

Cancel the factor (x + 2) on the numerator and denominator, leaving

= x+ 3 → c

noname [10]3 years ago
5 0

Answer:

C. x+3

Step-by-step explanation:

Simplifying

x²++5x+6/x+2

Firstly we need to factorize the numerator to have;

x²+5x+6

x²+3x+2x+6

(x²+3x)+(2x+6)

x(x+3)+2(x+3)

x+2(x+3)

The equation will now become;

(x+2)(x+3)/x+2

= x+2 will cancel out x+2 to have x+3 left which is the required function

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