Use Pascal S Triangle to Expand the Expression $( 3 y + z ) ^ { 6 }$

question 15

Multiple Choice

Use Pascal s Triangle to expand the expression $( 3 y + z ) ^ { 6 }$ .

• A) \(729 y ^ { 6 } + z ^ { 6 }\)
• B) \(729 y ^ { 6 } + 243 y ^ { 5 } z + 81 y ^ { 4 } z ^ { 2 } + 27 y ^ { 3 } z ^ { 3 } + 9 y ^ { 2 } z ^ { 4 } + 3 y z ^ { 5 } + z ^ { 6 }\)
• C) \(y ^ { 6 } + y ^ { 5 } z + y ^ { 4 } z ^ { 2 } + y ^ { 3 } z ^ { 3 } + y ^ { 2 } z ^ { 4 } + y z ^ { 5 } + z ^ { 6 }\)
• D) \(729 y ^ { 6 } + 1458 y ^ { 5 } z + 1215 y ^ { 4 } z ^ { 2 } + 540 y ^ { 3 } z ^ { 3 } + 135 y ^ { 2 } z ^ { 4 } + 18 y z ^ { 5 } + z ^ { 6 }\)
• E) \(3 y ^ { 6 } + z ^ { 6 }\)

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