What is the value of a3 + b3 ? (i) a2 + b2 = 22 (ii) ab=3?
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( a + b)² = a² + b²+ 2ab
So
100 = 22 + 2ab
88 = 2ab
ab = 44
We know that
(a + b )³ = a³ + b³ + 3ab ( a + b)
1000 = a³ + b³ + 3 × 44 ( 10)
1000 = a³ + b³ + 3200
a³ + b³ = 2320
So
100 = 22 + 2ab
88 = 2ab
ab = 44
We know that
(a + b )³ = a³ + b³ + 3ab ( a + b)
1000 = a³ + b³ + 3 × 44 ( 10)
1000 = a³ + b³ + 3200
a³ + b³ = 2320
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