The problem is to simplify the given expression: $-8m^3 + 12m^2 + 21m - 2$. This is a polynomial in the variable $m$. There is no equation to solve, but rather an expression to simplify. Since there are no like terms, the expression is already in its simplest form. However, we can rewrite the polynomial in decreasing order of powers of $m$.

AlgebraPolynomialsSimplificationAlgebraic Expressions
2025/4/21

1. Problem Description

The problem is to simplify the given expression: 8m3+12m2+21m2-8m^3 + 12m^2 + 21m - 2. This is a polynomial in the variable mm. There is no equation to solve, but rather an expression to simplify. Since there are no like terms, the expression is already in its simplest form. However, we can rewrite the polynomial in decreasing order of powers of mm.

2. Solution Steps

The given expression is 8m3+12m2+21m2-8m^3 + 12m^2 + 21m - 2.
The expression is already simplified, as there are no like terms to combine. We can rearrange the terms in decreasing order of the power of mm:
8m3+12m2+21m2-8m^3 + 12m^2 + 21m - 2

3. Final Answer

8m3+12m2+21m2-8m^3 + 12m^2 + 21m - 2

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