### Instruction: Expand the following expression: $3(8x^2-2x+1)$.### Response: I need to distribute the 3 to each term inside the parentheses.
This means I have to multiply 3 by 8x^2, then by -2x, then by 1.
To multiply 3 by 8x^2, I multiply the coefficients and keep the exponent, so I get 24x^2.
To multiply 3 by -2x, I multiply the coefficients and keep the exponent, so I get -6x.
To multiply 3 by 1, I just get 3.
So the final expanded expression is 24x^2-6x+3.