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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

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BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter A, Problem 31PE
Textbook Problem
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How would you explain binomial expansions to an elementary algebra student.

To determine

To explain:

Binomial expansion to an elementary student.

Explanation of Solution

The exponents of x begin with the exponent of the binomial 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 the original binomial.

Therefore, the variables in the expansion exhibit the following pattern.

xn,xn1y,xn2y2,xn3y3,.........,xyn1,yn.

The sum of the exponents of xandy for each term is n

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