Class 11

Math

Algebra

Binomial Theorem

In the expansion of $(2x −x_{2}3 )_{10}$, the coefficient of $x_{4}$ is?

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Using binomial theorem, write down the expansions of the following: $(1−3x)_{7}$

Find the coefficient of $x_{6}y_{3}$ in the expansion of $(x+2y)_{9}˙$

Find a if 17th and 18th terms in the expansion of $(2+a)_{50}$ are equal.

The coefficient of $x_{50}$ in $(x+_{101}C_{0})(x+_{101}C_{1})…..(x+_{101}C_{50})$ is

Find the number of terms in the expansions of the following: $(2x+3y−4z)_{n}$

In the expansion of $(1+a)_{m+n}$ prove that coefficients of $a_{m}$ and $a_{n}$ are equal.

Let $(5+26 )_{n}=p+f$ where $n∈N$ and $p∈N$ and $0<f<1$ then the value of, $f_{2}−f+pf−p$ is

If the sum of the coefficients in the expansion of $(q+r)_{20}(1+(p−2)x)_{20}$ is equal to square of the sum of the coefficients in the expansion of $[2rqx−(r+q)⋅y]_{10}$, where $p$, $r$,$q$ are positive constants, then