a2 - 4 এবং 4a2 + 20a + 24 এর গ.সা.গু কত?

A 2(a + 2) 

B (a + 2)  

C (a - 2)

D (a - 2)(a + 3)

Solution

Correct Answer: Option B

প্রথম রাশি = a2 - 4
             = a2 - 22
             = (a + 2)(a - 2)

দ্বিতীয় রাশি = 4a2 + 20a + 24
               = 4(a2 + 5a + 6)
               = 4(a2 + 3a + 2a + 6)
               = 4{a(a + 3) + 2(a + 3)}
               = 4(a + 3)(a + 2)

∴ নির্ণেয় গ.সা.গু = (a + 2)

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