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Expand the Binomial by Using Pascal's Triangle to Determine the Coefficients

Question 165

Multiple Choice

Expand the binomial by using Pascal's Triangle to determine the coefficients. (2ts) 5( 2 t - s ) ^ { 5 }


A) 32t580t4s+80t3s240t2s3+10ts4s532 t ^ { 5 } - 80 t ^ { 4 } s + 80 t ^ { 3 } s ^ { 2 } - 40 t ^ { 2 } s ^ { 3 } + 10 t s ^ { 4 } - s ^ { 5 }
B) 32t5+80t4s+80t3s240t2s3+10ts4s532 t ^ { 5 } + 80 t ^ { 4 } s + 80 t ^ { 3 } s ^ { 2 } - 40 t ^ { 2 } s ^ { 3 } + 10 t s ^ { 4 } - s ^ { 5 }
C) 32t580t4s80t3s240t2s3+10ts4s532 t ^ { 5 } - 80 t ^ { 4 } s - 80 t ^ { 3 } s ^ { 2 } - 40 t ^ { 2 } s ^ { 3 } + 10 t s ^ { 4 } - s ^ { 5 }
D) 32t580t4s+80t3s2+40t2s3+10ts4+s532 t ^ { 5 } - 80 t ^ { 4 } s + 80 t ^ { 3 } s ^ { 2 } + 40 t ^ { 2 } s ^ { 3 } + 10 t s ^ { 4 } + s ^ { 5 }
E) 32t5+80t4s80t3s2+40t2s310ts4+s532 t ^ { 5 } + 80 t ^ { 4 } s - 80 t ^ { 3 } s ^ { 2 } + 40 t ^ { 2 } s ^ { 3 } - 10 t s ^ { 4 } + s ^ { 5 }

Correct Answer:

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