Question

please answer this fast​

Answer 1

Answer:

(c) x+2

Step-by-step explanation:

factors of x^2+5x+6

(x+2)(x+3)

factors of (x+2)^2-4x-8

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

(x+2)((x+2)-(4))

(x+2)(x-2)

common factor (x+2)

so HCF is (x+2)

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Answer 2

1st polynomial :

x² + 5x + 6

=> x² + 2x + 3x + 6

=> (x + 2) + 3(x + 2)

=> (x + 2)(x + 3)

2nd polynomial:

(x + 2)² - 4x - 8

=> (x + 2)[-(x + 2) + 4]

=> (x + 2)(x - 2)

Now,

HCF = (x + 2)

Therefore, the answer is Option(C)

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