Problem
Simplify the algebraic expression. \[ 3\left(-4 x^{2}+5 x\right)-\left(3 x-2 x^{2}\right) \] \[ 3\left(-4 x^{2}+5 x\right)-\left(3 x-2 x^{2}\right)=\square(\text { Simplify your answer. Do not factor. }) \]
Solution
Step 1 ：Distribute the 3 in the first term and the negative sign in the second term to get \(-12x^{2} + 15x - 3x + 2x^{2}\).
Step 2 ：Combine like terms to get \(-10x^{2} + 12x\).
Step 3 ：The simplified algebraic expression is \(\boxed{-10x^{2} + 12x}\).
