(2a^2+5a+3)-(a^2-3a-4)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (2a^2 + 5a + 3) - (a^2 - 3a - 4)

This expression involves subtracting two trinomials. Let's break down the steps to simplify it:

1. Distribute the Negative Sign

The minus sign in front of the second parenthesis means we multiply each term inside the parenthesis by -1:

(2a^2 + 5a + 3) + (-1)(a^2 - 3a - 4)

This gives us:

(2a^2 + 5a + 3) - a^2 + 3a + 4

2. Combine Like Terms

Now we can combine terms with the same variable and exponent:

(2a^2 - a^2) + (5a + 3a) + (3 + 4)

3. Simplify

Performing the arithmetic, we get the simplified expression:

a^2 + 8a + 7

Therefore, the simplified form of the expression (2a^2 + 5a + 3) - (a^2 - 3a - 4) is a^2 + 8a + 7.