13. Write out the first five terms of the binomial expansion below: $(x - 2y)^{17}$
Added by Crystal L.
Close
Step 1
.. + C(n,n)x^0(-2y)^n where C(n,r) is the binomial coefficient, given by: C(n,r) = n! / (r!(n-r)!) Now, to find the first @e terms of the expansion, we need to substitute n = 1, 2, 3, ..., @e in the above formula and simplify. Let's do this for @e = 5: (x - Show more…
Show all steps
Your feedback will help us improve your experience
Sherrie Fenner and 79 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
13. Find the coefficient of the term containing x^7 in the Binomial expansion of (x - y)^9 14. Use the Binomial Theorem to expand and simplify the expression (x - 2y)^5
Pritesh R.
Write the first three terms of each binomial expansion. $$(2 x-y)^{12}$$
Sequences, Series, and Probability
Combinations, Labeling, and the Binomial Theorem
Write the first four terms of each binomial expansion. $$ (3 x-y)^{14} $$
Further Topics in Algebra
The Binomial Theorem
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD