Question

if 3a-2b = 11 and ab=12, find 27 a^3 ​

Answer 1

Step-by-step explanation:

3a-2b=11

cubing both side

(3a-2b)³=(11)³

using identity (a-b)=a³-b³-3ab(a-b)

(3a)³-(2b)³-3×3a×2b(3a-2b)=1331

27a³-8b³-18ab(3a-2b)=1331

27a³-8b³-54a²b+36ab²=1331

27a³-8b³-54×a×(a×b)+36a×(a×b)=1331

27a³-8b³-54×a×12+36×a×12=1331

27a³-8b-648a+432a=1331

27a³=216a+8b+1331......ans...

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