find the value of a³+8b³ if a + 2b =10 and ab=15
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12
a³+8b³=(a+2b)³-3*2ab(a+2b)
=10³-6*15(10)
=1000-900
=100
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Answered by
14
Answer:
Given: a+2b=10 and ab=15
Consider, a³+8b³ = a³ + (2b³)
=(a + 2b)³ - 3 * a * 2b(a + 2b) {SInce, a³ + b³ =(a + b )- 3ab(a + b)}
=(a + 2b)³ - 6ab(a + 2ab)
=(10)³- 6 * 15 * 10
=1000- 900 =100
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