Explanation Given: ( x − 2 y ) 9 Formula used: ( a + b ) n = ( n 0 ) a n + ( n 1 ) a n − 1 ⋅ b + ( n 2 ) a n − 2 ⋅ b 2 + ( n 3 ) a n − 3 ⋅ b 3 + ... + ( n n ) ⋅ b n . Calculation: For any positive integers n , ( a + b ) n = ( n 0 ) a n + ( n 1 ) a n − 1 ⋅ b + ( n 2 ) a n − 2 ⋅ b 2 + ( n 3 ) a n − 3 ⋅ b 3 + ( n 4 ) a n − 4 ⋅ b 4 + ... + ( n n ) ⋅ b n = ∑ r = 0 n ( n r ) a n − r b r Substitute a = x ; b = − 2 y ; n = 9 in above equation and get, ( x − 2 y ) 9 = { ( 9 0 ) ( x ) 9 + ( 9 1 ) ( x ) 9 − 1 ⋅ ( − 2 y ) + ( 9 2 ) ( x ) 9 − 2 ⋅ ( − 2 y ) 2 + ( 9 3 ) ( x ) 9 − 3 ⋅ ( − 2 y ) 3 +

$ALGREBRA AND TRIG MYLAB W\ETEXT & MYLAB$

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ISBN: 9780137915224

Author: Blitzer

Publisher: PEARSON C

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Chapter 11.5, Problem 34E

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To calculate: First three terms in the binomial expansion of (x−2y)9

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Chapter 11.5, Problem 33E

Chapter 11.5, Problem 35E

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ALGREBRA AND TRIG MYLAB W\ETEXT & MYLAB

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First three terms in the binomial expansion of ( x − 2 y ) 9

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