If \( n \) is positive integer and if \( \left(1+4 x+4 x^{2}\right)^{n}=\sum_{r=0}^{2 n} a_{r} x.... VIDEO
If \( n \) is positive integer and if \( \left(1+4 x+4 x^{2}\right)^{n}=\sum_{r=0}^{2 n} a_{r} x^{r} \),https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2024-01-21 Match the following columns:
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{3}{|c|}{ Column-I } .... 2024-01-21 The sum of the first \( n \) terms of two arithmetic series are in the ratio \( (7 n+1):(4 n+27).... 2024-01-21 If \( m \) be unit digit of \( \left(27^{50}+18^{50}\right) \) and \( n \) is the
remainder when.... 2024-01-21 For some positive integer \( n \)
\[
\left(1+x+x^{2}\right)^{n}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots.... 2024-01-21 If \( \sum_{r=0}^{10}\left(\frac{r}{{ }^{10} C_{r}}\right)=20 \), find the value of \( \sum_{r=0.... 2024-01-21 Let \( F(n)=\sum_{r=0}^{n-1}\left(\frac{{ }^{n} C_{r}}{{ }^{n} C_{r}+{ }^{n} C_{r+1}}\right) \),.... 2024-01-21 The coefficient of \( a^{8} b^{6} c^{4} \) in the expansion of \( (a+b+c)^{18} \) is-.... 2024-01-21 Values of \( x \) for which the sixth term of the expansion of
\( E=\left(3^{\log _{3} \sqrt{9^{.... 2024-01-21 If \( n \) is positive integer and if \( \left(1+4 x+4 x^{2}\right)^{n}=\sum_{r=0}^{2 n} a_{r} x.... 2024-01-21 For a positive integer \( n \), if the expansion of
\( \left(\frac{5}{x^{2}}+x^{4}\right)^{n} \).... 2024-01-21 If \( n \) is positive integer and if \( \left(1+4 x+4 x^{2}\right)^{n}=\sum_{r=0}^{2 n} a_{r} x.... 2024-01-21 If \( (8+3 \sqrt{7})^{n}=P+F \), where \( P \) is an integer and \( F \) is
a proper fraction th.... 2024-01-21 \( 1+\frac{1}{4}+\frac{1.3}{4.8}+\frac{1.3 .5}{4.8 .12}+\ldots \ldots= \).... 2024-01-21 The middle term in the expansion of \( \left(x+\frac{1}{2 x}\right)^{2 n} \) is.... 2024-01-21 If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+\ldots . .+C_{n} x^{n} \), then \( C_{0} C_{2} \)
\( +.... 2024-01-21 The sum of the numerical coefficients in the
expansion of \( \left(1+\frac{x}{3}+\frac{2 y}{3}\r.... 2024-01-21 If \( \left(1+2 x+3 x^{2}\right)^{10}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots+a_{20} x^{20} \), then
\(.... 2024-01-21 If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+\ldots . .+C_{n} x^{n} \), then the
value of \( \mathr.... 2024-01-21 If \( T_{0}, T_{1}, T_{2}, \ldots \ldots T_{n} \) represent the terms in the expansion of \( (x+.... 2024-01-21 If \( x+y=1 \), then \( \sum_{r=0}^{n} r^{2 n} C_{r} x^{r} y^{n-r} \) equals.... 2024-01-21 The number of terms whose values depend on \( x \) in the
expansion of \( \left(x^{2}-2+\frac{1}....
0