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Which of the following represents the correct expansion of (x + 2)5? A. x5 + 10x4 + 40x3 + 40x2 + 10x +32 B. x5 + 8x4 + 12x3 + 8x2 + x +32 C. x5 + 10x4 + 20x3 + 20x2 + 10x +32 D. x5 + 10x4 + 40x3 + 80x2 + 80x +32
Binomial ? 5C0 * x^5 * 2^0 + 5C1 * x^4 * 2^1 + 5C2 * x^3 * 2^2 +5C3 * x^2 * 2^3 5C1 * 2 = 10x^4 5C2 * 2^2 = 40 5C3 * 2^3 = 5C2 * 2^3 = 80x^2 (noitce that 5C3 = 5C(5-3) = 5C2) so the answer is D
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