Explanation Given: Expression is given as ( x − 2 x ) 10 Formula used: The Binomial Theorem: Let x and a be real numbers. For any positive integer n , we have ( x + a ) n = ( n 0 ) x n + ( n 1 ) a x n − 1 + ⋯ + ( n j ) a j x n − j + ⋯ + ( n n ) a n ( x + a ) n = ∑ k = 0 n ( n k ) x n − j a j The binomial theorem can be used to find a particular term in an expansion without writing the entire expansion...

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ISBN: 9780321979070

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 12.5, Problem 41AYU

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To find: The coefficient of $x^{4}$ in the expansion of ${(x - \frac{2}{\sqrt{x}})}^{10}$ using Binomial Theorem.

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Chapter 12.5, Problem 40AYU

Chapter 12.5, Problem 42AYU

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The coefficient of x 4 in the expansion of ( x − 2 x ) 10 using Binomial Theorem.

Solution Summary: The author explains how the binomial theorem can be used to find a particular term in an expansion without writing the entire expansion.

Videos

To find: The coefficient of $x^{4}$ in the expansion of ${(x - \frac{2}{\sqrt{x}})}^{10}$ using Binomial Theorem.

Want to see the full answer?

Chapter 12 Solutions

Additional Math Textbook Solutions

The coefficient of x 4 in the expansion of ( x − 2 x ) 10 using Binomial Theorem.

Solution Summary: The author explains how the binomial theorem can be used to find a particular term in an expansion without writing the entire expansion.

Videos

To find: The coefficient of x4 in the expansion of (x − 2x)10 using Binomial Theorem.

Want to see the full answer?

Chapter 12 Solutions

Additional Math Textbook Solutions

To find: The coefficient of $x^{4}$ in the expansion of ${(x - \frac{2}{\sqrt{x}})}^{10}$ using Binomial Theorem.