(a^2-4a+6)+(-3a^2+13a+1)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (a^2 - 4a + 6) + (-3a^2 + 13a + 1)

To simplify the expression (a^2 - 4a + 6) + (-3a^2 + 13a + 1), we can follow these steps:

1. Remove the parentheses: Since we are adding the two expressions, the parentheses don't affect the order of operations. We can simply rewrite the expression as:

   a^2 - 4a + 6 - 3a^2 + 13a + 1

2. Combine like terms: Identify terms with the same variable and exponent. In this case, we have:

   • a^2 terms: a^2 - 3a^2
   • a terms: -4a + 13a
   • Constant terms: 6 + 1

3. Simplify each group of terms:

   • a^2 - 3a^2 = -2a^2
   • -4a + 13a = 9a
   • 6 + 1 = 7

4. Combine the simplified terms:

   -2a^2 + 9a + 7

Therefore, the simplified form of the expression (a^2 - 4a + 6) + (-3a^2 + 13a + 1) is -2a^2 + 9a + 7.