a³+3a²b+3ab²+b³+2ca²+4abc+2cb²+ac²+bc²
=(a³+3a²b+3ab²+b³)+(2a²+4ab+2b²)c+(a+b)c²
=(a+b)³+2(a+b)²c+(a+b)c²
=(a+b){(a+b)²+2(a+b)c+c²}
=(a+b){(a+b)+c}²
=(a+b)(a+b+c)²
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