Let \(k\) be the coefficient of \(x^{18}\) in the polynomial \(f(x)=\) \((1+x)^{20}+x(1+x)^{19}+....

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=kY-GEerbCv0


Duration: 4:41
0 views
0

Let \(k\) be the coefficient of \(x^{18}\) in the polynomial \(f(x)=\) \((1+x)^{20}+x(1+x)^{19}+x^2(1+x)^{18}+.+x^{18}(1+x)^2\) then the value of \(k\) is equal to 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2024-06-28If \(m\) is a positive integer next above \((\sqrt{3}+1)^{2 m}\) contains as a factor....
2024-06-28Find the value of \(x\) for which the fourth term in the expansion \(\left(5^{\frac{2}{5} \log _....
2024-06-28Number of terms free from radical sign in the expansion of \(\left(1+3^{1 / 3}+7^{1 / 7}\right)^....
2024-06-28If \(\sum_{r=1}^{10} r(r-1)^{10} C_r=k \cdot 2^9\), then \(k\) is equal to....
2024-06-28If \(x+y=1\), then \(\sum_{k=0}^n k^{2 n} C_k \cdot x^k \cdot y^{n-k}=\)....
2024-06-28The remainder when \(6^{83}+8^{83}\) is divided by 49 is equal to....
2024-06-28\(13^{99}-19^{93}\) is divisible by 162 , then the remainder is....
2024-06-28Let \((1+x)^n=1+n x+\frac{n(n-1) x^2}{2}+\ldots x, n \in R\). Then the sum of the series \(3+\fr....
2024-06-28The sum of the coefficients of even power of \(x\) in the expansion of \(\left(1+x+x^2+x^3\right....
2024-06-28The co-efficient of \(x^4\) in the expansion of \(\left(1-x+2 x^2\right)^{12}\) is ....
2024-06-28Let \(k\) be the coefficient of \(x^{18}\) in the polynomial \(f(x)=\) \((1+x)^{20}+x(1+x)^{19}+....
2024-06-28The value of \(\left(\begin{array}{c}50 \\ 0\end{array}\right)\left(\begin{array}{c}50 \\ 1\end{....
2024-06-28How many terms in the expansion of \(\left(y^{\frac{1}{3}}+x^{\frac{1}{10}}\right)^{55}\) are fr....
2024-06-28Let \(S_n=1+q+q^2+\ldots+q^n\) and \(T_n=1+\left(\frac{q+1}{2}\right)+\left(\frac{q+1}{2}\right)....
2024-06-28The sum \(\sum_{i=0}^m\left(\begin{array}{c}10 \\ i\end{array}\right)\left(\begin{array}{c}20 \\....
2024-06-28The number of values of ' \(r\) ' satisfying the equation, \({ }^{39} C_{3 r-1}-{ }^{39} C_{r^2}....
2024-06-28\(2^{60}\) when divided by 7 leaves the remainder equal to....
2024-06-28The value of \(p\), for which coefficient of \(x^{50}\) in the expression \((1+x)^{1000}+2 x(1+x....
2024-06-28The value of \({ }^n C_0 \cdot{ }^n C_n+{ }^n C_1 \cdot{ }^n C_{n-1}+\ldots+{ }^n C_n \cdot{ }^n....
2024-06-28The binomial expansion of \(\left(x^k+\frac{1}{x^{2 k}}\right)^{3 n}, n \in N\) contains term in....
2024-06-28Find numerically greatest term in the expansion of \((2+3 x)^9\), when \(x=3 / 2\). ....