Home
Class 11
MATHS
Find the 4^(t h)term in the expansion o...

Find the `4^(t h)`term in the expansion of `(x-2y)^(12)`.

Text Solution

AI Generated Solution

To find the fourth term in the expansion of \((x - 2y)^{12}\), we can use the Binomial Theorem. The general term in the expansion of \((a + b)^n\) is given by: \[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \] In our case, \(a = x\), \(b = -2y\), and \(n = 12\). We want to find the fourth term, which corresponds to \(r = 3\) (since \(r\) starts from 0). ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NCERT ENGLISH|Exercise EXERCISE 8.1|14 Videos
  • BINOMIAL THEOREM

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|17 Videos
  • BINOMIAL THEOREM

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|17 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT ENGLISH|Exercise All Questions|75 Videos

Similar Questions

Explore conceptually related problems

Find the 5th term in the expansion of (1+x^2)^12

Find the 15th term in the expansion of (2y-(x)/(2))^(18)

Find the 15th term in the expansion of (2y-(x)/(2))^(18)

Find the middle term in the expansion of (x/y-y/x)^7

Find the 9th term in the expansion of (x/a-(3a)/(x^2))^(12) .

Find the middle term in the expansion of (x- 1/(2x))^12

(i) Find the 9th term in the expansion of ((x)/(a)-(2a)/(x^(2)))^(12) (ii) Find the 8th term in the expansion of (2x^(2)+(1)/(x))^(12)

Find the 13^(t h) term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

Find the 13^(t h) term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

Find the 2nd term in the expansion of (1+x)^12