Advertisements
Advertisements
प्रश्न
The constant term in the expansion of `(x + 2/x)^6` is
पर्याय
156
165
162
160
Advertisements
उत्तर
160
Explanation:
Here x is x, a is `2/x`
∴ Constant term occurs only in middle term n = 6
∴ middle term = `"t"_(6/2+1) = "t"_(3+1)`
`"t"_(3+1) = 6"C"_3 (x)^3 (2/x)^3`
`= (6 * 5 * 4)/(3 * 2 * 1) x^3 xx 2^3/x^3 = 20 xx 8 = 160`
APPEARS IN
संबंधित प्रश्न
Find the middle terms in the expansion of
`(3x + x^2/2)^8`
Find the middle terms in the expansion of
`(2x^2 - 3/x^3)^10`
Find the term independent of x in the expansion of
`(x^2 - 2/(3x))^9`
Find the term independent of x in the expansion of
`(2x^2 + 1/x)^12`
Find the Co-efficient of x11 in the expansion of `(x + 2/x^2)^17`
The middle term in the expansion of `(x + 1/x)^10` is
Compute 994
Using binomial theorem, indicate which of the following two number is larger: `(1.01)^(1000000)`, 10
Find the coefficient of x4 in the expansion `(1 + x^3)^50 (x^2 + 1/x)^5`
Find the last two digits of the number 3600
