The first three terms in the binomial expansion of √(a+bx) are 13-2x^2+27+2x^2+81. Find the coefficient of the term in x^3 in its simplest form.
Added by Thomas M.
Step 1
We can use the formula for the nth term in the binomial expansion: Tn = nCrx^(n-r)(a+bx)^(r) where n is the total number of terms, r is the term we want to find, and nCr is the binomial coefficient, which is given by: nCr = n! / (r!(n-r)!) where n! is the Show more…
Show all steps
Close
Your feedback will help us improve your experience
Joshua Argo and 94 other Intro Stats / AP Statistics 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
use the Binomial Theorem to find the indicated coefficient or term. The coefficient of $x^{3}$ in the expansion of $(2 x+1)^{12}$
Sequences; Induction; the Binomial Theorem
The Binomial Theorem
Use the Binomial Theorem to find the indicated coefficient or term. The coefficient of $x^{3}$ in the expansion of $(2 x+1)^{12}$
Find the coefficient $a$ of the given term in the expansion of the binomial. Binomial = $(x+3)^{12}$ Term = $a x^{5}$
Sequences, Series, and Probability
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD