What is the equivalent expression for (2a - a + 3) - (-5a + 6a + 2)?

What is the equivalent expression for (2a - a + 3) - (-5a + 6a + 2)?

• A. 1
• B. 5
• C. 2a + 1
• D. 12a + 5

Answer: (A)

To find the equivalent expression for (2a - a + 3) - (-5a + 6a + 2), we start by simplifying both parts of the expression. First, simplify the expression inside the first parentheses: - Combine the like terms: \(2a - a\) gives \(1a\) or simply \(a\). - Adding 3 gives us \(a + 3\). Next, simplify the expression inside the second parentheses: - Combine the like terms: \(-5a + 6a\) results in \(1a\) or simply \(a\). - Therefore, the expression becomes \(a + 2\) after including the constant. Now, substituting back into the overall expression, we have: \[ (a + 3) - (a + 2) \] When we distribute the negative sign, it transforms into: \[ a + 3 - a - 2 \] The \(a\) terms cancel out, resulting in: \[ 3 - 2 \] This simplifies to 1. Thus, the equivalent expression for the original equation simplifies to 1, confirming that the correct answer is indeed a representation of this simplified

To find the equivalent expression for (2a - a + 3) - (-5a + 6a + 2), we start by simplifying both parts of the expression.

First, simplify the expression inside the first parentheses:

• Combine the like terms: (2a - a) gives (1a) or simply (a).

• Adding 3 gives us (a + 3).

Next, simplify the expression inside the second parentheses:

• Combine the like terms: (-5a + 6a) results in (1a) or simply (a).

• Therefore, the expression becomes (a + 2) after including the constant.

Now, substituting back into the overall expression, we have:

[

(a + 3) - (a + 2)

]

When we distribute the negative sign, it transforms into:

[

a + 3 - a - 2

]

The (a) terms cancel out, resulting in:

[

3 - 2

]

This simplifies to 1.

Thus, the equivalent expression for the original equation simplifies to 1, confirming that the correct answer is indeed a representation of this simplified