a3 - 9 + (a + 1)3 রাশিটির একটি উৎপাদক হবে?

a³ - 9 + (a + 1)³ রাশিটির একটি উৎপাদক হবে?

A (a + 1)

B (a - 2)

C (a - 1)

D (a - 3)

Solution

Correct Answer: Option C

a³ - 9 + (a + 1)³
= a³ - 9 + a³+ 3a² + 3a + 1
= 2a³ + 3a² + 3a - 8
= 2a³ - 2a² + 5a² - 5a + 8a - 8
= 2a²(a - 1) + 5a(a - 1) + 8(a - 1)
= (a - 1) (2a² + 5a + 8)

Solution

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