Question:
The coefficient of \(x\) in \[ (x+3)^3 \] is
(a) 1
(b) 9
(c) 18
(d) 27
Solution:
\[ (x+3)^3 \]
\[ =x^3+3x^2(3)+3x(3)^2+3^3 \]
\[ =x^3+9x^2+27x+27 \]
The coefficient of \(x\) is
\[ \boxed{27} \]
The coefficient of \(x\) in \[ (x+3)^3 \] is
(a) 1
(b) 9
(c) 18
(d) 27
\[ (x+3)^3 \]
\[ =x^3+3x^2(3)+3x(3)^2+3^3 \]
\[ =x^3+9x^2+27x+27 \]
The coefficient of \(x\) is
\[ \boxed{27} \]