What is the expansion of ( (x+2)^3 )?

Correct answer: \(x^3+6x^2+12x+8\)

Using \((a+b)^3=a^3+3a^2b+3ab^2+b^3\), put \(a=x\) and \(b=2\). Thus, \((x+2)^3=x^3+3x^2(2)+3x(2^2)+2^3=x^3+6x^2+12x+8\). In option B, the coefficients of the middle terms are incorrect, while option C omits both middle terms. Exam tip: in a cube expansion, always include both middle terms, \(3a^2b\) and \(3ab^2\).