ACT Math Practice Question #1435 (Hard (34)) | Test Citadel
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ACT Math Difficulty: Hard (34)

Digital ACT Math Practice Question #1435

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In the expansion of (2x - 3)^5, what is the coefficient of the x^3 term?
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C(5, 2) * (2)^3 * (-3)^2 = 10 * 8 * 9 = +720.

Masterclass Solution & Distractor Trap Analysis

The general term is C(5, k) * (2x)^(5-k) * (-3)^k. For x^3, 5 - k = 3, so k = 2. C(5, 2) * (2x)^3 * (-3)^2 = 10 * (8x^3) * 9 = 720x^3... wait: (-3)^2 is POSITIVE 9! So 10 * 8 * 9 = +720....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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