Advertisements
Advertisements
प्रश्न
In the following expansion, find the indicated term:
`(2x^2 + 3/(2x))^8`, 3rd term.
Advertisements
उत्तर
We know that the (r + 1)th term in the expansion of (a + b)n is
tr+1 = nCr an–r br
Here a = 2x2, b = `3/(2x)`, n = 8 and for t3, r = 2
∴ 3rd term in the expansion of `(2x^2 + 3/(2x))^8`
= t3 = `""^8"C"_2(2x^2)^6 (3/(2x))^2`
= `(8 xx 7)/(1 xx 2) xx 2^6.x^12 xx 3^2/(2^2.x^2)`
= 28 × 24 × 32.x10
= 4032 x10
APPEARS IN
संबंधित प्रश्न
In the following expansion, find the indicated term.
`(x^2 - 4/(x^3))^11`, 5th term
In the following expansion, find the indicated term.
`((4x)/5 - 5/(2x))^9`, 7th term
In the following expansion, find the indicated term.
`(1/3 + "a"^2)^12`, 9th term
Find the constant term (term independent of x) in the expansion of `(2x + 1/(3x^2))^9`
Find the constant term (term independent of x) in the expansion of `(2x^2 - 5/x)^9`
In the expansion of (k + x)8, the coefficient of x5 is 10 times the coefficient of x6. Find the value of k.
Select the correct answer from the given alternatives.
The total number of terms in the expression of (x + y)100 + (x − y)100 after simplification is:
Answer the following:
Find tenth term in the expansion of `(2x^2 + 1/x)^12`
Find the coefficients of x6 in the expansion of `(3x^2 - 1/(3x))^9`.
Find the coefficients of x60 in the expansion of `(1/x^2 + x^4)^18`
Answer the following:
Find the constant term in the expansion of `((4x^2)/3 + 3/(2x))^9`
Answer the following
Find the constant term in the expansion of `(2x^2 - 1/x)^12`
Answer the following:
If the coefficient of x2 and x3 in the expansion of (3 + kx)9 are equal, find k
Answer the following:
If the constant term in the expansion of `(x^3 + "k"/x^8)^11` is 1320, find k
Answer the following:
Show that there is no term containing x6 in the expansion of `(x^2 - 3/x)^11`
Answer the following:
Show that there is no constant term in the expansion of `(2x - x^2/4)^9`
Answer the following:
State, first four terms in the expansion of `(1 - (2x)/3)^(-1/2)`
Answer the following:
State, first four terms in the expansion of `(1 - x)^(-1/4)`
Answer the following:
State, first three terms in the expansion of `(5 + 4x) ^(-1/2)`
Answer the following:
Find the term independent of x in the in expansion of `(1 - x^2) (x + 2/x)^6`
Answer the following:
The 3rd term of (1 + x)n is 36x2. Find 5th term
Answer the following:
Suppose (1 + kx)n = 1 − 12x + 60x2 − .... find k and n.
The greatest value of the term independent of x in the expansion of (x sin p + x–1 cos p)10, p ∈ R is ______.
