-%2B-((5x2---1)-%2B-(2x-%2B-6)).jpeg "(3x + 4) + ((5x2 - 1) + (2x + 6))")
Simplifying the Expression: (3x + 4) + ((5x^2 - 1) + (2x + 6))
This expression involves combining terms with different powers of x. Let's break it down step by step to simplify it.
1. Removing Parentheses
We start by removing the parentheses. Remember, a plus sign in front of a parenthesis doesn't change the signs inside.
(3x + 4) + ((5x^2 - 1) + (2x + 6)) becomes:
3x + 4 + 5x^2 - 1 + 2x + 6
2. Combining Like Terms
Now, we combine the terms with the same powers of x:
- x^2 terms: There's only one term with x^2, which is 5x^2
- x terms: We have 3x and 2x, which combine to 5x
- Constant terms: We have 4, -1, and 6, which combine to 9
3. The Simplified Expression
Putting it all together, the simplified expression is:
5x^2 + 5x + 9
Conclusion
By carefully applying the order of operations and combining like terms, we've simplified the complex expression into a much more manageable form.