উৎপাদকে বিশ্লেষণ করুন : x2 - 2ax + (a+b) (a-b)
Solution
Correct Answer: Option B
প্রদত্ত রাশি = x2 – 2ax + (a + b) (a – b)
= x2 – 2ax + a2 – b2 [∵ (a + b) (a – b) = a2 – b2]
= (x2 – 2ax + a2) – b2 [বর্গ নির্ণয়ের সূত্র সাজিয়ে]
= (x – a)2 – b2 [∵ a2 – 2ab + b2 = (a – b)2]
= {(x – a) + b} {(x – a) – b} [∵ a2 – b2 = (a + b) (a – b)]
= (x – a + b) (x – a – b)
নির্ণেয় উৎপাদক: (x – a + b) (x – a – b) বা (x – a – b) (x – a + b)
= x2 – 2ax + a2 – b2 [∵ (a + b) (a – b) = a2 – b2]
= (x2 – 2ax + a2) – b2 [বর্গ নির্ণয়ের সূত্র সাজিয়ে]
= (x – a)2 – b2 [∵ a2 – 2ab + b2 = (a – b)2]
= {(x – a) + b} {(x – a) – b} [∵ a2 – b2 = (a + b) (a – b)]
= (x – a + b) (x – a – b)
নির্ণেয় উৎপাদক: (x – a + b) (x – a – b) বা (x – a – b) (x – a + b)
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