Question
Download Solution PDFयदि (a – b) = 3 और ab = 70 है तो (a3 - b3) का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
(a – b) = 3 और ab = 70
सूत्र:
a3 – b3 = (a – b)3 + 3ab(a – b)
गणना:
a3 – b3 = (a – b)3 + 3ab(a – b)
⇒ a3 – b3 = 33 + 3 × 70 × 3
⇒ a3 – b3 = 27 + 630
∴ a3 – b3 = 657
स्मार्ट ट्रिक
a = 10 और b = 7 [as (a – b) = 10 – 7 = 3 और ab = 10 × 7 = 70] लेने पर
∴ a3 – b3 = 103 – 73 = 1000 – 343 = 657.
Last updated on Jul 17, 2025
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