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Use the Binomial Theorem to Expand and Simplify the Expression (x+6)4( x + 6 ) ^ { 4 }

Question 18

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ (x+6) 4( x + 6 ) ^ { 4 }


A) x424x3+216x2+864x+1296x ^ { 4 } - 24 x ^ { 3 } + 216 x ^ { 2 } + 864 x + 1296
B) x424x3216x2+864x+1296x ^ { 4 } - 24 x ^ { 3 } - 216 x ^ { 2 } + 864 x + 1296
C) x424x3+216x2+864x1296x ^ { 4 } - 24 x ^ { 3 } + 216 x ^ { 2 } + 864 x - 1296
D) x4+36x3216x2+864x1296x ^ { 4 } + 36 x ^ { 3 } - 216 x ^ { 2 } + 864 x - 1296
E) x4+24x3+216x2+864x+1296x ^ { 4 } + 24 x ^ { 3 } + 216 x ^ { 2 } + 864 x + 1296

Correct Answer:

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