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

Question 36

Multiple Choice

Rewrite the binomial of the form (ab) n( a - b ) ^ { n } as [a+(b) ]n[ a + ( - b ) ] ^ { n } . Then expand the binomial. Use Pascal's triangle to find the coefficients.
(4y4) 5\left( 4 - y ^ { 4 } \right) ^ { 5 }


A) [4+(y4) ]5;10245y4+10y810y12+5y16y20\left[ 4 + \left( - y ^ { 4 } \right) \right] ^ { 5 } ; 1024 - 5 y ^ { 4 } + 10 y ^ { 8 } - 10 y ^ { 12 } + 5 y ^ { 16 } - y ^ { 20 }
B) [4+(y4) ]5;10241280y+640y2160y3+20y5y6\left[ 4 + \left( - y ^ { 4 } \right) \right] ^ { 5 } ; 1024 - 1280 y + 640 y ^ { 2 } - 160 y ^ { 3 } + 20 y ^ { 5 } - y ^ { 6 }
C) [4+(y4) ]5;10241280y4+640y8160y12+20y16y20\left[ 4 + \left( - y ^ { 4 } \right) \right] ^ { 5 } ; 1024 - 1280 y ^ { 4 } + 640 y ^ { 8 } - 160 y ^ { 12 } + 20 y ^ { 16 } - y ^ { 20 }
D) [4+(y4) ]5;10245y+10y210y3+5y4y6\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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