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(2x^2-1+3x^3)+(5-13x-11x^2)

2 min read Jun 16, 2024
(2x^2-1+3x^3)+(5-13x-11x^2)

Simplifying Polynomial Expressions

This article will guide you through simplifying the polynomial expression:

(2x^2 - 1 + 3x^3) + (5 - 13x - 11x^2)

Understanding the Problem

We need to combine like terms to simplify this expression. Here's a breakdown:

  • Like terms: Terms with the same variable and exponent. For example, 2x^2 and -11x^2 are like terms, while 2x^2 and 3x^3 are not.

Steps to Simplify

  1. Remove the parentheses: Since we're adding the two expressions, the parentheses don't affect the order of operations. We can simply remove them:

    2x^2 - 1 + 3x^3 + 5 - 13x - 11x^2

  2. Rearrange terms: Let's group like terms together:

    3x^3 + 2x^2 - 11x^2 - 13x - 1 + 5

  3. Combine like terms: Add or subtract the coefficients of like terms:

    3x^3 + (-9x^2) - 13x + 4

Final Result

The simplified form of the expression is: 3x^3 - 9x^2 - 13x + 4

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