Explanation Given information: The expression is ( 3 y − 2 x 2 ) 4 . Formula used: According to Binomial theorem: For any positive integer ( 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 ) Also, by definition of factorial, 0 ! is 1 . Calculation: Consider the expression ( 3 y − 2 x 2 ) 4

Loose Leaf for Beginning and Intermediate Algebra

6th Edition

ISBN: 9781264121205

Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy

Publisher: McGraw-Hill Education

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Chapter 14, Problem 4T

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To calculate: The expansion of (3y−2x2)4.

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Chapter 14, Problem 3T

Chapter 14, Problem 5T

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Chapter 14 Solutions

Loose Leaf for Beginning and Intermediate Algebra

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 ( 3 y − 2 x 2 ) 4 .

Solution Summary: The author calculates the expansion of (3y-2x2)4 using the Binomial Theorem.

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Chapter 14 Solutions