Explanation Given information: The expression, ( c − 2 ) 5 . Formula used: Binomial Theorem: For any positive integer n , ( a + b ) n = n ! n ! ⋅ 0 ! a n + n ! ( n − 1 ) ! ⋅ 1 ! a ( n − 1 ) b + n ! ( n − 2 ) ! ⋅ 2 ! a ( n − 2 ) b 2 + … + n ! 0 ! ⋅ n ! b ( n ) In factorials, 0 ! = 1 Calculation: Consider the formula, ( a + b ) n = n ! n ! ⋅ 0 ! a n + n ! ( n − 1 ) ! ⋅ 1 ! a ( n − 1 ) b + n ! ( n − 2 ) ! ⋅ 2 ! a ( n − 2 ) b 2 + … + n ! 0 ! ⋅ n ! b ( n ) Using this formula to expand ( c − 2 ) 5 , ( c − 2 ) 5 = 5 ! 5 ! ⋅ 0 ! ( c ) 5 + 5 ! ( 5 − 1 ) ! ⋅ 1 ! ( c ) ( 5 − 1 ) ( − 2 ) + 5 ! ( 5 − 2 ) ! ⋅ 2 ! ( c ) ( 5 − 2 ) ( − 2 ) 2 + 5 ! ( 5 − 3 ) ! ⋅ 3 ! ( c ) ( 5 − 3 ) ( − 2 )<

6th Edition

ISBN: 9781266148941

Author: Miller

Publisher: MCG CUSTOM

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Chapter 14.1, Problem 42PE

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To calculate: The expansion of (c−2)5 using binomial theorem.

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Chapter 14.1, Problem 41PE

Chapter 14.1, Problem 43PE

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Chapter 14 Solutions

BEGINNING+INTERM.ALG.(LL) >CUSTOM PKG.<

Ch. 14.1 - Prob. 1SP Ch. 14.1 - Prob. 2SP Ch. 14.1 - Evaluate the expressions. 3. 1! Ch. 14.1 - Prob. 4SP Ch. 14.1 - Prob. 5SP Ch. 14.1 - Prob. 6SP Ch. 14.1 - Write out the first three terms of ( x + y ) 5 .Ch. 14.1 - 8. Use the binomial theorem to expand . Ch. 14.1 - Use the binomial theorem to expand ( 2 a − 3 b 2 )...Ch. 14.1 - Find the fourth term of ( x + y ) 8 .

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The expansion of ( c − 2 ) 5 using binomial theorem.

Solution Summary: The author calculates the expansion of (c-2)5 using the binomial theorem.

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Chapter 14 Solutions