14. [-/1 Points] DETAILS MY NOTES TGEIALG6 5.5.075. $$ \begin{array}{l} ext { Perform the operation. (Simplify your answer completely.) } \ \ \left(0.07 f^{2}+0.77 f+0.76 ight)-\left(0.52 f^{2}-1.97 ight) \ ext { SUBMIT ANSWER }\end{array} $$

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14. [-/1 Points] DETAILS MY NOTES TGEIALG6 5.5.075. $$ \begin{array}{l}	ext { Perform the operation. (Simplify your answer completely.) } \ \ \left(0.07 f^{2}+0.77 f+0.76ight)-\left(0.52 f^{2}-1.97ight) \ 	ext { SUBMIT ANSWER }\end{array} $$

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\left(0.07 f^{2} + 0.77 f + 0.76\right) - \left(0.52 f^{2} - 1.97\right)
$$

**Step 1: Distribute the negative sign**

$$
0.07 f^{2} + 0.77 f + 0.76 - 0.52 f^{2} + 1.97
$$

**Step 2: Combine like terms**

- **$$ f^{2} $$ terms:** $$ 0.07 f^{2} - 0.52 f^{2} = -0.45 f^{2} $$
- **$$ f $$ term:** $$ 0.77 f $$ (no other $$ f $$ terms to combine)
- **Constant terms:** $$ 0.76 + 1.97 = 2.73 $$

**Final Simplified Expression:**

$$
-0.45 f^{2} + 0.77 f + 2.73
$$
$$ -0.45 f^{2} + 0.77 f + 2.73 $$

[-/1 Points] DETAILS MY NOTES TGEIALG6 5.5.075.

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