WebApr 3, 2024 · SOLUTION : Let the three letters be L1,L2 and L3 and the three envelopes be E1,E2 and E3. E1 can have any of the letters L1,L2 or L3. following which E2 and E3 can … WebThe formula to find the n th term in the binomial expansion of (x + y) n is T r+1 = n C r x n-r y r. Applying this to (2x + 3) 9 , T 5 = T 4+1 = 9 C 4 (2x) 9-4 3 4. Thus the 5th term is = 9 C 4 (2x) 5 3 4. Term Independent of X: …
algebra precalculus - Finding the term that is independent of $x ...
WebThe term containing 1 x will not occur is second bracket. The term independent of x = [9C6 33 23× 1 36]−2x3[9C7 33 23× 1 37 × 1 x3] = [ 9×8×7 1×2×3 × 1 8×27]−2[ 9×8 1×2− 1 … WebAnswer (1 of 4): (a+b)^8 = sum from 0 to 8 of (c(8,i)a^(8-i)b^i. In our case it is a=2x, b= 1/2x^3 x^(8-i)*(x^(-3))^i=x^0 8-i-3i=0 i=2 The term is then c(8,2)(2x)^6*(1/(2x^3)^2 = (8*7/2)*2^6*(1/2^2) = 28*2^4 =448. It is the third term. If you just open the brackets you will get the same re... tramandai rs gov br
algebra precalculus - Finding the term that is independent of $x ...
WebMar 4, 2024 · Find the term independent of x in the expansion of ( √x/√3 + √3/ 2x^2 )^10. asked Jan 17, 2024 in Binomial Theorem by Babli (4.0k points) binomial theorem; class-11; 0 votes. 1 answer. The term independent of x in (√x - 2/x)^18 is. asked Nov 5, 2024 in Binomial Theorem by Maahi01 (24.6k points) binomial theorem; WebMar 4, 2024 · Find the term independent of x in the expansion of (1 - x^2)(x + 2/x)^6. asked Feb 10, 2024 in Binomial Theorem by Moniseth (45.9k points) methods of induction; binomial theorem; class-11; Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. WebJul 24, 2024 · Formula Used: A general term, T r+1 of binomial expansion (x +y) n is given by, Now, finding the general term of the expression \((x - \frac{1}{3x^2})^9\), we get. For finding the term which is independent of x, 9 - 3r = 0. r = 3. Thus, the term which would be independent of x is T 4 . Thus, the term independent of x in the expansion of \((x ... tramanav 20