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1 . x² - x - (a + 1)(a + 2) কে উৎপাদকে বিশ্লেষণ করুন?

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Answer: Option A

Explanation:

x² – x – (a + 1)(a + 2)
= x² – x – (a + 1)(a + 1 + 1)

মনে করি, a + 1 = y

তাহলে প্রদত্ত রাশি,
x² – x – y(y + 1)
= x² – x – y²– y
= x²– y² – x – y
= (x + y)(x – y) – 1(x + y)
= (x + y)(x – 1)

= (x + a + 1){x – (a +1 ) – 1} [y এর মান বসিয়ে]
= (x + a + 1)(x – a – 1 – 1)
= (x + a + 1)(x – a – 2) (ans.)