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Use Pascal's Triangle to Expand the Binomial (c+d)6( c + d ) ^ { 6 }

Question 12

Multiple Choice

Use Pascal's triangle to expand the binomial.
- (c+d) 6( c + d ) ^ { 6 }


A) c6+6c5d+15c4d2+20c3d3+15c2d4+6cd5+d6c ^ { 6 } + 6 c ^ { 5 } d + 15 c ^ { 4 } d ^ { 2 } + 20 c ^ { 3 } d ^ { 3 } + 15 c ^ { 2 } d ^ { 4 } + 6 c d ^ { 5 } + d ^ { 6 }
B) c6+c5d+c4d2+c3d3+c2d4+cd5+d6c ^ { 6 } + c ^ { 5 } d + c ^ { 4 } d ^ { 2 } + c ^ { 3 } d ^ { 3 } + c ^ { 2 } d ^ { 4 } + c d ^ { 5 } + d ^ { 6 }
C) c6+d6c ^ { 6 } + d ^ { 6 }
D) c6+7c5d+21c4d2+35c3d3+35cd+21c2d4+7cd5+d6c ^ { 6 } + 7 c ^ { 5 } d + 21 c ^ { 4 } d ^ { 2 } + 35 c ^ { 3 } d ^ { 3 } + 35 c d + 21 c ^ { 2 } d ^ { 4 } + 7 c d ^ { 5 } + d ^ { 6 }

Correct Answer:

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