find the value of a³+8b³,if a+2b=10 and ab= 15
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Answered by
38
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
HOPE IT HELPS YOU! :)
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
HOPE IT HELPS YOU! :)
Answered by
9
Answer:
a+2b=10 and ab=15
a³+8b³=a³+(2b)³
= (a+2b)³-3×a×2b (a+2b)
={a³+b³=(a+b) - 3ab (a+b)}
=(a+2b)³-6ab (a+2ab)
=(10)³-6×15×10
=1000-900 = 100
So , the answer will be 100
I hope u understand
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