a3 - 3a2b + 3ab2 -2b3 রাশিকে উৎপাদকে বিশ্লেষণ করলে,উৎপাদক হবে নিচের কোনটি?


A ( a - 2b ) ( a2 - ab + b2

B ( a - 2 ) ( a2 - ab + b2

C ( a - b ) ( a2 - 2ab + 3b2

D ( a + b ) ( a2 - ab + b2

Solution

Correct Answer: Option A

a³ - 3a²b + 3ab² - 2b³
= a³ - 3a²b + 3ab² - b³ - b³
= ( a - b)³ - b³
= (a - 2b){(a - b)² + b(a -b) + b²}
= (a - 2b)(a² - ab + b²)

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