Statement 1: The number of distinct terms in `(1+x+x^2+x^3+x^4)^(1000)i s4001.` Statement 2: The number of distinct terms in expansion `(a_1+a_2++a_m)^ni s^(n+m-1)C_(m-1)^dot`

The number of distinct terms in the expansion of is (x^(3)+(1)/(x^(3))+1)^(200) is

The number of distinct terms in the expansion of (x+y^(2))^(13)+(x^(2)+y)^(14) is

Statement 1: The total number of dissimilar terms in the expansion of (x_1+x_2++x_n)^3i s(n(n+1)(n+2))/6dot Statement 2: The total number of dissimilar terms in the expansion of (x_1+x_2+x_3)^ni s(n(n+1)(n+2))/6dot

Statement 1: The sum of coefficient in the expansion of (3^(-x//4)+3^(5x//4))^ni s2^ndot Statement 2: The sum of coefficient in the expansion of (x+y)^n i s2^ndot

Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(1-3sqrt(2)x)^9dot

The number of distinct real roots of x^4-4x^3+12 x ^2+x-1=0 is ________

The number of terms in the expansion of (1 + 5sqrt(2)x)^(9) + (1 - 5sqrt(2)x)^(9) is

Find the constant term in the expansion of (x-1//x)^6dot

Find the 6th term in expansion of (2x^2-1//3x^2)^(10)dot