To demonstrate polynomial addition, we need to combine the like terms from both polynomials correctly. Let's add the given polynomials step by step.
The two polynomials we are adding are:
- \( 2x^2 + 6x + 1 \)
- \( 3x^2 + 3x + 9 \)
Now, adding the like terms:
- For \(x^2\) terms: \(2x^2 + 3x^2 = 5x^2\)
- For \(x\) terms: \(6x + 3x = 9x\)
- For the constant terms: \(1 + 9 = 10\)
So, the sum is: \[ (2x^2 + 6x + 1) + (3x^2 + 3x + 9) = 5x^2 + 9x + 10 \]
Thus, the correct answer that demonstrates polynomial addition is: \[ (2x^2 + 6x + 1) + (3x^2 + 3x + 9) = 5x^2 + 9x + 10 \]
So the correct option is: (2x^2+6x+1)+(3x^2+3x+9)=5x^2+9x+10.
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