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------------------------------------------------ Subtract: \((10f^2 - 12f + 7) - (-3f^2 - 5f + 11)\)

A. \(13f^2 - 17f - 4\)
B. \(7f^2 - 17f - 4\)
C. \(13f^2 - 7f - 4\)
D. \(7f^2 - 17f + 18\)

Answer :

Final answer:

To subtract the given expression, distribute the negative sign and combine like terms to get the final expression.

Explanation:

To subtract the given expression, we need to distribute the negative sign to each term inside the parentheses. This gives us: (10f^- 12f+7) + 3f² + 5f - 11. Next, we can combine like terms by adding or subtracting the coefficients of the same exponent. The final expression is 10f^- 12f + 7 + 3f² + 5f - 11. Simplifying further, we get 13f² - 7f - 4. Therefore, the correct answer is Option C: 13f² - 7f - 4.

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