Questions: 9x^2 + 17 6x^2 - 15

Transcript text: [-/1 Points] DETAILS MY NOTES Use a vertical format to find the sum. \[ \begin{array}{l} 9 x^{2}+17 \\ 6 x^{2}-15 \\ \hline \end{array} \] Need Help? Read It

Solution

Solution Steps

Step 1: Write the expressions in vertical format

Align the expressions by their like terms:

  9x^2 + 17
+ 6x^2 - 15

Step 2: Add the coefficients of the like terms

Add the coefficients of \(x^2\) and the constant terms separately:

For \(x^2\) terms: \(9x^2 + 6x^2 = 15x^2\)
For constant terms: \(17 - 15 = 2\)

Step 3: Combine the results

Combine the results from the addition of like terms:

15x^2 + 2

Final Answer

The sum of the given expressions is \(15x^2 + 2\).

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