Question
Download Solution PDFযদি (a - b) = 3 এবং ab = 70 হয় তবে (a3 - b3) এর মানটি নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত :
(a - b) = 3 এবং ab = 70
সূত্র:
a3 – b3 = (a – b)3 + 3ab(a – b)
গণনা:
a3 – b3 = (a – b)3 + 3ab(a – b)
⇒ a3 – b3 = 33 + 3 × 70 × 3
⇒ a3 – b3 = 27 + 630
∴ a3 – b3 = 657
সংক্ষিপ্ত কৌশল
a = 10 এবং b = 7 [যেহেতু (a – b) = 10 – 7 = 3 এবং ab = 10 × 7 = 70] নিলে
∴ a3 – b3 = 103 – 73 = 1000 – 343 = 657
Last updated on Jul 4, 2025
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