(m^2-m-4)+(m-5)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (m^2 - m - 4) + (m - 5)

This article will guide you through simplifying the algebraic expression (m^2 - m - 4) + (m - 5).

Understanding the Expression

The expression involves combining two polynomials:

• (m^2 - m - 4): This is a quadratic trinomial (a polynomial with three terms, the highest power of the variable being 2).
• (m - 5): This is a linear binomial (a polynomial with two terms, the highest power of the variable being 1).

Simplifying the Expression

To simplify the expression, we need to combine like terms. This means grouping together terms with the same variable and exponent.

1. Remove the parentheses: Since we are adding the two polynomials, the parentheses don't affect the order of operations. We can simply rewrite the expression without them:

   m^2 - m - 4 + m - 5

2. Identify like terms:

   • m^2 has no other like terms.
   • -m and +m are like terms.
   • -4 and -5 are like terms.

3. Combine like terms:

   m^2 + (-m + m) + (-4 - 5)

4. Simplify:

   m^2 - 9

Final Result

The simplified expression is m^2 - 9.