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

question 109

Multiple Choice

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

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

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