(4x2 - 16) এবং (6x2 + 24x + 24) এর গ. সা. গু. কত?

A (x + 2)

B 2(x + 2)2

C 2(x + 2)

D 4(x + 2)2

Solution

Correct Answer: Option C

4x2 - 16
= 4 (x2 - 4)
= 4 {(x)2 - (2)2}
= 4 (x + 2)(x - 2)

এবং 6x2 + 24x + 24
= 6 (x2 + 4x + 4)
= 6 {(x)2 + 2. x. 2 + (2)2}
= 6 (x + 2)2

এখন,
4 এবং 6 এর গ. সা. গু. = 2

∴ নির্ণেয় গ. সা. গু. = 2(x + 2)

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