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MathNet 2026 — Part 07 Question 165

Math Olympiad Vault · MathNet 2026 — Part 07

Question 165

Find the maximum value of $y = (7 - x)^{4} (2 + x)^{5}$ when $x$ lies strictly between $-2$ and $7$.


(a) $7^{4} 2^{5}$

(b) $(4.5)^{4} (2.5)^{5}$

(c) $(2.5)^{9}$

(d) $(4.5)^{9}$