(3a2+1)−(4+2a2)

less than a minute read Jun 16, 2024
(3a2+1)−(4+2a2)

Simplifying the Expression (3a² + 1) - (4 + 2a²)

This article aims to explain how to simplify the algebraic expression (3a² + 1) - (4 + 2a²).

Step-by-step Solution

  1. Distribute the negative sign: The negative sign in front of the parentheses means we multiply each term inside the second parentheses by -1.

    (3a² + 1) - (4 + 2a²)  =  3a² + 1 - 4 - 2a²
    
  2. Combine like terms: Identify terms with the same variable and exponent, and combine their coefficients.

    3a² - 2a² + 1 - 4 
    
  3. Simplify: Combine the coefficients of the 'a²' terms and the constant terms.

    a² - 3
    

Final Answer

Therefore, the simplified form of the expression (3a² + 1) - (4 + 2a²) is a² - 3.

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