How do you find the 4th term in the expansion of (4y+x)^4? Precalculus The Binomial Theorem Pascal's Triangle and Binomial Expansion 1 Answer Ratnaker Mehta ยท Jumbotron Aug 4, 2016 16yx^3. Explanation: The (r+1)^(th) term T_(r+1), in the expansion of (a+b)^n is, T_(r+1)=""^nC_r*a^(n-r)*b^r So, in our case, for the read. 4^(th) term, T_4 we have, r=3, n=4, a=4y, and, b=x :. T_4=""^4C_3*(4y)^(4-3)*x^3 T_4=4*4y*x^3=16yx^3 Answer link Related questions What is Pascal's triangle? How do I find the nth row of Pascal's triangle? How does Pascal's triangle relate to binomial expansion? How do I find a coefficient using Pascal's triangle? How do I use Pascal's triangle to expand (2x + y)^4? How do I use Pascal's triangle to expand (3a + b)^4? How do I use Pascal's triangle to expand (x + 2)^5? How do I use Pascal's triangle to expand (x - 1)^5? How do I use Pascal's triangle to expand a binomial? How do I use Pascal's triangle to expand the binomial (a-b)^6? See all questions in Pascal's Triangle and Binomial Expansion Impact of this question 11068 views around the world You can reuse this answer Creative Commons License