Use the Binomial Theorem to Expand and Simplify the Expression $2 ( x - 5 ) ^ { 4 } + 5 ( x - 5 ) ^ { 2 }$

question 30

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $2 ( x - 5 ) ^ { 4 } + 5 ( x - 5 ) ^ { 2 }$

• A) \(2 x ^ { 4 } - 40 x ^ { 3 } + 305 x ^ { 2 } - 1050 x + 1375\)
• B) \(2 x ^ { 4 } + 40 x ^ { 3 } + 305 x ^ { 2 } - 1050 x + 1375\)
• C) \(2 x ^ { 4 } - 40 x ^ { 3 } - 305 x ^ { 2 } - 1050 x + 1375\)
• D) \(2 x ^ { 4 } - 40 x ^ { 3 } + 305 x ^ { 2 } - 1050 x - 1375\)
• E) \(2 x ^ { 4 } - 40 x ^ { 3 } - 305 x ^ { 2 } - 1050 x - 1375\)