a2 – 3a, a3 – 9a এবং a3 – 4a2 + 3a এর গ. সা.গু = ?
a(a – 3)
Correct
(a – 3)
a
a(a + 3)
Explanation:
Correct Answer is: a(a – 3)
১ম রাশি =a2 – 3a
= a(a – 3)
২য় রাশি = a3 – 9a
= a(a2 – 9)
= a{a2– 32}
=a(a + 3)(a – 3)
৩য় রাশি = a3 – 4a2 + 3a
= a(a2 – 4a + 3)
= a(a2 – 3a – a + 3)
= a{a(a – 3) – 1(a – 3)}
=a(a – 3)(a – 1)
নির্ণেয় গ.সা.গু = a(a – 3)