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

question 141

Multiple Choice

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

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

Evaluate the challenges faced by Americans in acquiring new trade ideas and technologies.

Examine the contributions of key individuals to American manufacturing and technology.

Grasp the transformative role of water and steam power in manufacturing and transportation.

Appraise the social, economic, and political changes spurred by the market economy expansion.

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