Expand the Binomial $$\left( x ^ { 5 } + y \right) ^ { 6 }$$

question 31

Multiple Choice

Expand the binomial. Use Pascal's triangle to find the coefficients. $$\left( x ^ { 5 } + y \right) ^ { 6 }$$

• A) \(x ^ { 11 } + 6 x ^ { 10 } y + 15 x ^ { 9 } y ^ { 2 } + 20 x ^ { 8 } y ^ { 3 } + 15 x ^ { 7 } y ^ { 4 } + 6 x ^ { 5 } y ^ { 5 } + y ^ { 6 }\)
• B) \(x ^ { 30 } + y ^ { 6 }\)
• C) \(x ^ { 30 } + 6 x ^ { 25 } y + 15 x ^ { 20 } y ^ { 2 } + 20 x ^ { 15 } y ^ { 3 } + 15 x ^ { 10 } y ^ { 4 } + 6 x ^ { 5 } y ^ { 5 } + y ^ { 6 }\)
• D) \(x ^ { 6 } + 6 x ^ { 5 } y + 15 x ^ { 4 } y ^ { 2 } + 20 x ^ { 3 } y ^ { 3 } + 15 x ^ { 2 } y ^ { 4 } + 6 x y ^ { 5 } + y ^ { 6 }\)

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