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Use the Binomial Theorem to Expand and Simplify the Expression (x+5)6( x + 5 ) ^ { 6 }

Question 9

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ (x+5) 6( x + 5 ) ^ { 6 }


A) x6+30x5+500x4+2500x3+9375x2+15625x+625x ^ { 6 } + 30 x ^ { 5 } + 500 x ^ { 4 } + 2500 x ^ { 3 } + 9375 x ^ { 2 } + 15625 x + 625
B) x6+500x5+375x4+3125x3+9375x2+18750x+15625x ^ { 6 } + 500 x ^ { 5 } + 375 x ^ { 4 } + 3125 x ^ { 3 } + 9375 x ^ { 2 } + 18750 x + 15625
C) x6+30x5+375x4+2500x3+9375x2+18750x+15625x ^ { 6 } + 30 x ^ { 5 } + 375 x ^ { 4 } + 2500 x ^ { 3 } + 9375 x ^ { 2 } + 18750 x + 15625
D) x6+30x5+375x4+2500x3+9375x218750x+625x ^ { 6 } + 30 x ^ { 5 } + 375 x ^ { 4 } + 2500 x ^ { 3 } + 9375 x ^ { 2 } - 18750 x + 625
E) x6+30x5+25x4+3125x3+9375x2+18750x+15625x ^ { 6 } + 30 x ^ { 5 } + 25 x ^ { 4 } + 3125 x ^ { 3 } + 9375 x ^ { 2 } + 18750 x + 15625

Correct Answer:

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