Question

(a+b+c)3
catatan : 3 itu maksudnya pangkat 3

Answer 1

(a + b + c)³
= (a + b + c) (a + b + c) (a + b + c)
= (a² + ab + ac + ab + b² + bc + ac + bc + c²) (a + b + c)
= (a² + b² + c² + 2ab + 2bc + 2ac) (a + b + c)
= (a³ + a²b + a²c + ab² + b³ + b²c + ac² + bc² + c³ + 2a²b + 2ab² + 2abc + 2abc + 2b²c + 2bc² + 2a²c + 2abc + 2ac²)
= (a³ + b³ + c³ + 3a²b + 3ab² + 3a²c + 3ac² + 3b²c + 3bc² + 6abc)
= a³ + b³ + c³ + 3ab(a + b) + 3ac(a + c) + 3bc(b + c) + 3(2abc)
= a³ + b³ + c³ + 3(ab(a + b) + ac(a + c) + bc(b + c) + 2abc)

Terserah pake yg mana (yg ditebelin), nilainya sama.. Cuma, yg bawah lebih singkat