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(4x^2+x)-(x^2+2x)

2 min read Jun 16, 2024
(4x^2+x)-(x^2+2x)

Simplifying Algebraic Expressions: (4x^2 + x) - (x^2 + 2x)

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

Understanding the Expression

The expression consists of two sets of terms enclosed in parentheses, with a subtraction sign separating them.

  • (4x^2 + x): This part contains a term with an x squared (x^2) and a term with x.
  • (x^2 + 2x): This part also contains a term with an x squared (x^2) and a term with x.

Simplifying the Expression

  1. Distribute the Negative Sign: Since we have a subtraction sign in front of the second set of parentheses, we distribute it to each term inside the parentheses:

    (4x^2 + x) - (x^2 + 2x) = 4x^2 + x - x^2 - 2x

  2. Combine Like Terms: Now, we identify and combine the terms with the same variable and exponent:

    • x^2 terms: 4x^2 - x^2 = 3x^2
    • x terms: x - 2x = -x

  3. Write the Simplified Expression: Combining the simplified terms, we get:

    3x^2 - x

Final Answer

Therefore, the simplified form of the expression (4x^2 + x) - (x^2 + 2x) is 3x^2 - x.

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