13. [-/1 Points] DETAILS MY NOTES TGEIALG6 5.5.066. Perform the operations. (Simplify your answer completely.) Subtract $$ \left(36 x^{2}-18 x+51\right) $$ from the sum of $$ \left(24 x^{2}-12 x-9\right) $$ and $$ \left(-17 x^{2}+12 x+9\right) $$. $$ \square $$ SUBMIT ANSWER

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UpStudy AI · Accepted Answer

To solve the problem, follow these steps:

1. **Sum the first two polynomials:**
   $$
   (24x^2 - 12x - 9) + (-17x^2 + 12x + 9) = (24x^2 - 17x^2) + (-12x + 12x) + (-9 + 9) = 7x^2
   $$

2. **Subtract the third polynomial from the sum:**
   $$
   7x^2 - (36x^2 - 18x + 51) = 7x^2 - 36x^2 + 18x - 51 = -29x^2 + 18x - 51
   $$

**Final Answer:**  
$$-29x^2 + 18x - 51$$
$$-29x^2 + 18x - 51$$

[-/1 Points] DETAILS MY NOTES TGEIALG6 5.5.066.
Perform the operations. (Simplify your answer completely.)
Subtract from the sum of and .

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[-/1 Points] DETAILS MY NOTES TGEIALG6 5.5.066. Perform the operations. (Simplify your answer completely.) Subtract from the sum of and . SUBMIT ANSWER