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

Question 45

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.
(p2w) 3\left( p ^ { 2 } - w \right) ^ { 3 }


A) [p2+(w) ]3;p63p4w+3p2w2w3\left[ p ^ { 2 } + ( - w ) \right] ^ { 3 } ; p ^ { 6 } - 3 p ^ { 4 } w + 3 p ^ { 2 } w ^ { 2 } - w ^ { 3 }
B) [p2+(w) ]3;p6+w3\left[ p ^ { 2 } + ( - w ) \right] ^ { 3 } ; - p ^ { 6 } + w ^ { 3 }
C) [p2+(w) ]3;p6w3\left[ p ^ { 2 } + ( - w ) \right] ^ { 3 } ; p ^ { 6 } - w ^ { 3 }
D) [p2+(w) ]3;p6+3p4w3p2w2+w3\left[ p ^ { 2 } + ( - w ) \right] ^ { 3 } ; - p ^ { 6 } + 3 p ^ { 4 } w - 3 p ^ { 2 } w ^ { 2 } + w ^ { 3 }

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