Rewrite the Binomial of the Form $( a - b ) ^ { n }$

question 36

Multiple Choice

Rewrite the binomial of the form $( a - b ) ^ { n }$ as $[ a + ( - b ) ] ^ { n }$ . Then expand the binomial. Use Pascal's triangle to find the coefficients.
$\left( 4 - y ^ { 4 } \right) ^ { 5 }$

• A) \(\left[ 4 + \left( - y ^ { 4 } \right) \right] ^ { 5 } ; 1024 - 5 y ^ { 4 } + 10 y ^ { 8 } - 10 y ^ { 12 } + 5 y ^ { 16 } - y ^ { 20 }\)
• B) \(\left[ 4 + \left( - y ^ { 4 } \right) \right] ^ { 5 } ; 1024 - 1280 y + 640 y ^ { 2 } - 160 y ^ { 3 } + 20 y ^ { 5 } - y ^ { 6 }\)
• C) \(\left[ 4 + \left( - y ^ { 4 } \right) \right] ^ { 5 } ; 1024 - 1280 y ^ { 4 } + 640 y ^ { 8 } - 160 y ^ { 12 } + 20 y ^ { 16 } - y ^ { 20 }\)
• D) \(\left[ 4 + \left( - y ^ { 4 } \right) \right] ^ { 5 } ; 1024 - 5 y + 10 y ^ { 2 } - 10 y ^ { 3 } + 5 y ^ { 4 } - y ^ { 6 }\)

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