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(-4m^3-m+9)-(4m^2+m-12)

less than a minute read Jun 16, 2024
(-4m^3-m+9)-(4m^2+m-12)

Simplifying Algebraic Expressions: (-4m^3-m+9)-(4m^2+m-12)

This article will guide you through simplifying the algebraic expression (-4m^3-m+9)-(4m^2+m-12).

Understanding the Problem

The expression involves subtracting two polynomials. To simplify it, we need to follow the order of operations (PEMDAS/BODMAS) and combine like terms.

Simplifying the Expression

  1. Distribute the Negative Sign: Begin by distributing the negative sign in front of the second parenthesis: -4m^3 - m + 9 - 4m^2 - m + 12

  2. Combine Like Terms: Identify terms with the same variable and exponent and combine their coefficients: -4m^3 - 4m^2 - m - m + 9 + 12

  3. Simplify: Combine the coefficients of the like terms: -4m^3 - 4m^2 - 2m + 21

Solution

The simplified form of the expression (-4m^3-m+9)-(4m^2+m-12) is -4m^3 - 4m^2 - 2m + 21.

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