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

To simplify the expression, we first distribute the negative sign to each term in the second parentheses: \((0.07 f^{2}+0.77 f+0.76) - (0.52 f^{2} - 1.97) = 0.07 f^{2} + 0.77 f + 0.76 - 0.52 f^{2} + 1.97\). Next, we combine like terms: - For \(f^2\) terms: \(0.07 f^{2} - 0.52 f^{2} = -0.45 f^{2}\) - For \(f\) terms: \(0.77 f\) (as there are no other \(f\) terms) - For constant terms: \(0.76 + 1.97 = 2.73\) So, the final simplified expression is: \(-0.45 f^{2} + 0.77 f + 2.73\). Now you can strut your math skills with pride, knowing the magic of combining like terms!