The expression given in your example is not a correct demonstration of polynomial addition. Let's analyze it step by step.
You have: \[ (2x^2 + 6x + 1) + (3x^2 + 3x + 9) \]
To add these two polynomials together, you need to combine like terms. The like terms in this case are the coefficients of \(x^2\), \(x\), and the constant terms:
- Combine \(x^2\) terms: \(2x^2 + 3x^2 = 5x^2\)
- Combine \(x\) terms: \(6x + 3x = 9x\)
- Combine constant terms: \(1 + 9 = 10\)
So when you add the two polynomials together, you get: \[ 5x^2 + 9x + 10 \]
However, the original expression mistakenly included \(327\), which is not a correct term in the polynomial. It looks more like a typo or error.
To correct the format: The corrected version of your statement would be: \[ (2x^2 + 6x + 1) + (3x^2 + 3x + 9) = 5x^2 + 9x + 10 \]
So, the correct demonstration of polynomial addition is: \[ (2x^2 + 6x + 1) + (3x^2 + 3x + 9) = 5x^2 + 9x + 10 \]