Answer: \(6x (2x^2 + 4x)\) is not equivalent the given expression.
Step-by-step explanation:
Here, the given expression,
\(4(3x^2+6x) = 4\times 3x^2 + 4\times 6x= 12x^2+24x\)
Expression (A),
\(12x^2 + 24x\)
Expression (B),
\(2x(6x+12)=2x\times 6x + 2x\times 12=12x^2+24x\)
Expression (C),
\(6x (2x^2 + 4x)=12x^3+24x\)
Expression (D),
\(3x (4x +8) = 3x\times 4x + 3x\times 8 = 12x^2+24x\)
Thus, by the above explanation it is clear that only the expression C is not equivalent to the given expression.
