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(5p^2-3)+(2p^2-3p^3)

2 min read Jun 16, 2024
(5p^2-3)+(2p^2-3p^3)

Simplifying the Expression (5p^2 - 3) + (2p^2 - 3p^3)

This article will guide you through the process of simplifying the algebraic expression: (5p^2 - 3) + (2p^2 - 3p^3)

Understanding the Process

Simplifying expressions involves combining like terms. Like terms are those that have the same variable and exponent. In our expression, we have:

  • Constant terms: -3
  • Terms with p^2: 5p^2 and 2p^2
  • Terms with p^3: -3p^3

Steps to Simplify

  1. Remove the parentheses: Since we are adding the two expressions, the parentheses do not affect the order of operations. We can simply rewrite the expression as: 5p^2 - 3 + 2p^2 - 3p^3

  2. Rearrange the terms: It is helpful to arrange the terms in descending order of their exponents: -3p^3 + 5p^2 + 2p^2 - 3

  3. Combine like terms:

    • -3p^3 remains as is (no other p^3 terms)
    • 5p^2 + 2p^2 = 7p^2
    • -3 remains as is (no other constant terms)

Final Simplified Expression

The simplified form of the expression is: -3p^3 + 7p^2 - 3

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