Question
Find the term of the binomial expansion containing the given power of $x$.$$\left(x^{2}+1\right)^{10} ; x^{14}$$
Step 1
Step 1: The binomial expansion of $(x^{2}+1)^{10}$ can be written as: $$\sum_{k=0}^{10} \binom{10}{k} (x^{2})^{k} (1)^{10-k}$$ Show more…
Show all steps
Your feedback will help us improve your experience
Linh Vu and 59 other Precalculus 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
Find the term of the binomial expansion containing the given power of $x$. $$\left(x^{2}+1\right)^{9} ; x^{11}$$
Sequences, Induction, and Probability
The Binomial Formula
Find the term of the binomial expansion containing the given power of $x$. $$(x+1)^{7} ; x^{4}$$
Find the term of the binomial expansion containing the given power of $x$. $$(2 x+3)^{18} ; x^{14}$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD