Use the Binomial Theorem to Expand and Simplify the Expression $\left( x ^ { 3 / 4 } + 5 \right) ^ { 4 }$

question 15

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $\left( x ^ { 3 / 4 } + 5 \right) ^ { 4 }$

• A) \(x ^ { 3 } + 625\)
• B) \(x ^ { 3 } + 20 x ^ { 9 / 4 } + 150 x + 500 x ^ { 3 / 4 } + 625\)
• C) \(x ^ { 3 } + 20 x ^ { 9 / 5 } + 150 x ^ { 3 / 2 } + 500 x ^ { 3 / 4 } + 625\)
• D) \(x ^ { 3 } + 20 x ^ { 9 / 4 } + 150 x ^ { 3 / 2 } + 500 x ^ { 3 / 4 } + 625\)
• E) \(- x ^ { 3 } + 20 x ^ { 9 / 4 } + 150 x ^ { 3 / 2 } + 500 x + 625\)