সাধারণ পদ , মধ্যপদ ও সমদূরবর্তী পদ নির্ণয়
(x2+2+1x2)16 \left(x^{2}+2+\frac{1}{x^{2}}\right)^{16} (x2+2+x21)16এর বিস্তৃতিতে মধ্য পদটি হল-
চতুর্থ
পঞ্চম
অষ্টম
নবম
(x2+2+1x2)8={(x+1x)2}8=(x+1x)16 \begin{aligned}\left(x^{2}+2+\frac{1}{x^{2}}\right)^{8} & =\left\{\left(x+\frac{1}{x}\right)^{2}\right\}^{8} \\ & =\left(x+\frac{1}{x}\right)^{16}\end{aligned} (x2+2+x21)8={(x+x1)2}8=(x+x1)16
মধ্যপদ হবে (16/2 + 1) = 9 তম।
The total number of rational terms in the expansion of (713+1119)6561\left(7^{\frac 13} + 11^{\frac 19}\right)^{6561}(731+1191)6561 is
The coefficient of middle term in the expansion of (1+x)40(1+{x})^{40}(1+x)40 is
The number of irrational terms in the expansion of(58+26)100,( \sqrt [ 8 ] { 5 } + \sqrt [ 6 ] { 2 } ) ^ { 100 } ,(85+62)100, is
In the expansion of (a−b)n,n≥5(a-b)^{n},n\ge 5(a−b)n,n≥5, if the sum of the 5th5^{th}5th and 6th6^{th}6th terms is zero, then a/ba/ba/b=