Simplify the algebraic expression.
\[
3\left(-4 x^{2}+5 x\right)-\left(3 x-2 x^{2}\right)
\]
\[
3\left(-4 x^{2}+5 x\right)-\left(3 x-2 x^{2}\right)=\square(\text { Simplify your answer. Do not factor. })
\]

Answer

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Answer

The simplified algebraic expression is \(\boxed{-10x^{2} + 12x}\).

Steps

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 \(\boxed{-10x^{2} + 12x}\).