Use the Binomial Theorem to Expand the Binomial $\left( \frac { z } { 2 } + b \right) ^ { 4 }$

question 251

Multiple Choice

Use the binomial theorem to expand the binomial. $\left( \frac { z } { 2 } + b \right) ^ { 4 }$

• A) \(z ^ { 4 } + z ^ { 3 } b + z ^ { 2 } b ^ { 2 } + z b ^ { 3 } + b ^ { 4 }\)
• B) \(\frac { 1 } { 8 } z ^ { 4 } + \frac { 1 } { 2 } z ^ { 3 } b + \frac { 3 } { 2 } z ^ { 2 } b ^ { 2 } + 2 z b ^ { 3 } + b ^ { 4 }\)
• C) \(\frac { 1 } { 2 } z ^ { 4 } + b ^ { 4 }\)
• D) \(\frac { 1 } { 16 } z ^ { 4 } + \frac { 1 } { 8 } z ^ { 3 } b + \frac { 1 } { 4 } z ^ { 2 } b ^ { 2 } + \frac { 1 } { 2 } z b ^ { 3 } + b ^ { 4 }\)
• E) \(\frac { 1 } { 16 } z ^ { 4 } + \frac { 1 } { 2 } z ^ { 3 } b + \frac { 3 } { 2 } z ^ { 2 } b ^ { 2 } + 2 z b ^ { 3 } + b ^ { 4 }\)

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