Home
Class 11
MATHS
The expansion { x + (x^(3) -1)^(1//2)}^...

The expansion ` { x + (x^(3) -1)^(1//2)}^(5) + { x - (x^(3) -1)^(1//2)}^(5)` is a polynomial of degree

A

5

B

6

C

7

D

8

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

The expression [x+(x^3-1)^(1/2)]^5+[x-(x^3-1)^(1/2)]^5 is a polynomial of degree

If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c^2)x(1+a^2)x(1+b^2)x1+c^2x| , then f(x) is a polynomial of degree 0 b. 1 c. 2 d. 3

If x + (1)/(x) = 5 find x ^(2) + (1)/(x ^(2))

The term independent of x in expansion of ((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))^10 is (1) 120 (2) 210 (3) 310 (4) 4

Statement-1 The number of terms in the expansion of (x + (1)/(x) + 1)^(n) " is " (2n +1) Statement-2 The number of terms in the expansion of (x_(1) + x_(2) + x_(3) + …+ x_(m))^(n) "is " ^(n + m -1)C_(m-1) .

Find the term independent of x in the expansion of : ((x+1)/(x^(2//3)-x^(1//3)+1)- (x-1)/(x-x^(1//2)))^10 .

The value of x for which the sixth term in the expansion of [2^(log)2sqrt(9^(x-1)+7)+1/(2^(1/5)(log)_2(3^((x-1)+1)))]^7 is 84 is a. 4 b. 1or2 c. 0or1 d. 3

For what value of x is the ninth term in the expansion of : {3^(log_3 sqrt(25^(x-1)+7))+3^(-1/8 log_3 (5^(x-1) +1))}^10 is equal to 180.

The polynomial of least degree such that lim_(xto0)(1+(x^(2)+f(x))/(x^(2)))^(1//x)=e^(2) is

The coefficient of x^9 in the expansion of (1+x)(16 x^2)(1+x^3)(1+x^(100)) is