Verified by Ajay Kumar
If a + b = 3 and ab = 2, find a³ + b³.
9
18
12
6
Answer: A
Solution: Use the identity \(a^3+b^3=(a+b)^3-3ab(a+b)\). Substituting the given values, \(a^3+b^3=3^3-3\times2\times3=27-18=9\). Trick: When a + b and ab are given, use the identity directly instead of finding a and b separately.
यदि a + b = 3 और ab = 2 है, तो a³ + b³ ज्ञात कीजिए।
9
18
12
6
उत्तर: A
हल: सर्वसमिका \(a^3+b^3=(a+b)^3-3ab(a+b)\) का प्रयोग करें। दिए गए मान रखने पर \(a^3+b^3=3^3-3\times2\times3=27-18=9\)। ट्रिक: जब a + b और ab दिए हों, तो a और b के अलग-अलग मान निकालने के बजाय सीधे सर्वसमिका लगाएँ।
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