After simplification, what is the number of terms in the expansion of `[(3x+y)^(5)]^(4)-[(3x-y)^(4)]^(5)` ?A. 4B. 5C. 10D. 11

After simplification, what is the number of terms in the expansion of

1.	After simplification, what is the number of terms in the expansion of `[(3x+y)^(5)]^(4)-[(3x-y)^(4)]^(5)` ?A. 4B. 5C. 10D. 11
Answer» Correct Answer - C Given expression is : `[(3x+y)^(5)]^(4)-[(3x-y)^(4)]^(5)=[(3x+y)]^(20)-[(3x-y)]^(20)` First and second expansion will have 21 terms each but odd terms in second expansion be 1st, 3rd, 5th……21st will be equal and opposite to those of first expansion. Thus, the number of terms in the expansion of above expression is 10.

What is `C(n, r) + 2C(n, r - 1) + C(n, r - 2)` equal to?A. `C(n + 1, r)`B. `C(n -1, r + 1)`C. `C(n, r + 1)`D. `C(n + 2, r)`
In the expansion of `(1+x)^(50),`find the sum of coefficients of odd powers of `xdot`A. `2^(26)`B. `2^(49)`C. `2^(50)`D. `2^(51)`
The number of terms in the expansion of `(x+a)^100+(x-a)^100` after simplificationA. 202B. 101C. 51D. 50
What is the number of non-zero terms in the expansion of `(1+2 sqrt(3)x)^(11) + (1 - 2 sqrt(3)x)^(11)` (after simplification)?A. 4B. 5C. 6D. 11
What is the number of terms in the expansion of `[(2x - 3y)^(2)(2x+3y)^(2)]^(2)`?A. 4B. 5C. 8D. 16
What is the sum of the coefficients in the expansion of `(1+x)^(n)` ?A. `2^(n)`B. `2^(n)-1`C. `2^(n)+1`D. `n+1`
After simplification, what is the number of terms in the expansion of `[(3x+y)^(5)]^(4)-[(3x-y)^(4)]^(5)` ?A. 4B. 5C. 10D. 11
Consider the expansion `(x^(2)+(1)/(x))^(15)`. What is the sum of the coefficients of the middle terms in the given expansion ?A. C(15, 9)B. C(16, 9)C. C(16, 8)D. None of these
What is the sum of the coefficients of all the terms in the expansion of `(45x-49)^(4)` ?A. `-256`B. `-100`C. 100D. 256
In the expansion of `(1 + x)^43` ,the co-efficients of `(2r + 1)th and (r + 2)th` terms are equal. Find `r`.A. 5B. 14C. 21D. 22