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

question 328

Multiple Choice

Expand the binomial by using Pascal's Triangle to determine the coefficients. $( x + 2 y ) ^ { 5 }$

• A) \(x ^ { 5 } + 10 x ^ { 4 } y + 40 x ^ { 3 } y ^ { 2 } - 80 x ^ { 2 } y ^ { 3 } + 80 x y ^ { 4 } + 32 y ^ { 5 }\)
• B) \(x ^ { 5 } - 10 x ^ { 4 } y + 40 x ^ { 3 } y ^ { 2 } + 80 x ^ { 2 } y ^ { 3 } + 80 x y ^ { 4 } + 32 y ^ { 5 }\)
• C) \(x ^ { 5 } + 10 x ^ { 4 } y + 40 x ^ { 3 } y ^ { 2 } + 80 x ^ { 2 } y ^ { 3 } - 80 x y ^ { 4 } - 32 y ^ { 5 }\)
• D) \(x ^ { 5 } + 10 x ^ { 4 } y + 40 x ^ { 3 } y ^ { 2 } + 80 x ^ { 2 } y ^ { 3 } + 80 x y ^ { 4 } + 32 y ^ { 5 }\)
• E) \(x ^ { 5 } + 10 x ^ { 4 } y - 40 x ^ { 3 } y ^ { 2 } - 80 x ^ { 2 } y ^ { 3 } - 80 x y ^ { 4 } + 32 y ^ { 5 }\)

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