Which expression is equivalent to 3x (5x^2-2x+8)?
A. 15x^2 - 6x^2 + 24x
B. 8x^3 + x^2 + 11x
C. 15x^2 - 6x + 24
D. 8x^2 + x + 11
The expression 3x (5x^2-2x+8) can be simplified by distributing the 3x to each term inside the parentheses:
3x(5x^2) + 3x(-2x) + 3x(8)
This simplifies to:
15x^3 - 6x^2 + 24x
Therefore, the correct answer is:
B. 15x^3 - 6x^2 + 24x