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Home » First, compute $ (x + y)^3 $: - Appfinity Technologies

First, compute $ (x + y)^3 $: - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Substitute the values: \(S_5 = \frac{5}{2}(2 \times 3 + 4 \times 2)\).

📌 Simplify: \(S_5 = \frac{5}{2}(6 + 8) = \frac{5}{2} \times 14 = 35\).

📌 #### \(S_5 = 35\)

📌 Find the derivative of \(f(x) = 3x^3 - 5x^2 + 2x - 7\).

📌 Use power rule: \(f'(x) = 9x^2 - 10x + 2\).

📌 #### \(f'(x) = 9x^2 - 10x + 2\)

📌 Calculate the limit \(\lim_{x \to 2} \frac{x^2 - 4}{x - 2}\).

📌 Factor the numerator: \(\frac{(x - 2)(x + 2)}{x - 2}\).

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