Explanation The binomial expansion for ( x + y ) n is x n + n x n − 1 y + n ( n − 1 ) 2 ! . x n − 2 y 2 + n ( n − 1 ) ( n − 2 ) 3 ! x n − 3 y 3 + ........ + y n The exponents of x begin with the exponent of 15 and decrease term by term by 1 until the last term becomes 1, i.e. the exponent of x is 0. The exponents of y begin with 0 and increase term by term by 1 until the last term contains the power of 15. But, we need to write only first four terms of the expansion. Therefore, ( x + y ) 15 = x 15 + 15 x 14 y + 15 ⋅ 14 2 ! x 13 y 2 + 15 ⋅ 14 ⋅ 13 3 ! x 12 y 3

First four terms of the expansion of ( x + y ) 15 .

Intermediate Algebra

10th Edition

ISBN: 9781305191495

Author: Jerome E. Kaufmann; Karen L. Schwitters

Publisher: Cengage Learning US

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Chapter A, Problem 21PE

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First four terms of the expansion of (x+y)15.

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First four terms of the expansion of ( x + y ) 15 .

Solution Summary: The author explains the binomial expansion for (x+y)n. The exponents begin with 0 and increase by 1 until the last term contains the power of 15.

Videos

To write:

First four terms of the expansion of (x+y)15.

Chapter A Solutions

First four terms of the expansion of ( x + y ) 15 .

Solution Summary: The author explains the binomial expansion for (x+y)n. The exponents begin with 0 and increase by 1 until the last term contains the power of 15.

Videos

To write: First four terms of the expansion of (x+y)15.

Chapter A Solutions

To write:

First four terms of the expansion of (x+y)15.