What is the result of combining the terms: 2a^2 + 3a^2 - a^2?

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Multiple Choice

What is the result of combining the terms: 2a^2 + 3a^2 - a^2?

Explanation:
To find the result of combining the terms \(2a^2 + 3a^2 - a^2\), we start by identifying the like terms involved. All the terms, \(2a^2\), \(3a^2\), and \(-a^2\), are multiples of \(a^2\). 1. First, add the coefficients of the positive terms: \(2 + 3 = 5\). 2. Now, include the negative coefficient from \(-a^2\), which is effectively subtracting 1: \(5 - 1 = 4\). Thus, when you combine these like terms, you effectively have \(4a^2\). This means the correct result of the expression \(2a^2 + 3a^2 - a^2\) is indeed \(4a^2\). The other options do not accurately represent the sum of these terms, as they do not correctly account for the coefficients during combination.

To find the result of combining the terms (2a^2 + 3a^2 - a^2), we start by identifying the like terms involved. All the terms, (2a^2), (3a^2), and (-a^2), are multiples of (a^2).

  1. First, add the coefficients of the positive terms: (2 + 3 = 5).
  1. Now, include the negative coefficient from (-a^2), which is effectively subtracting 1: (5 - 1 = 4).

Thus, when you combine these like terms, you effectively have (4a^2). This means the correct result of the expression (2a^2 + 3a^2 - a^2) is indeed (4a^2).

The other options do not accurately represent the sum of these terms, as they do not correctly account for the coefficients during combination.

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