Binomial Expansion

An algebraic expression consisting of two terms is called a —

Which of the following is a binomial expression?

In this chapter, the value of $n$ in the expansion of $(1+y)^n$ does not exceed —

The present discussion of binomial expansion is limited to which kind of power?

The value of $(1+y)^0$ is —

The number of terms in the expansion of $(1+y)^1$ is —

The number of terms in the expansion of $(1+y)^n$ is —

In the expansion of $(1+y)^n$, the powers of $y$ increase from —

The last term in the expansion of $(1+y)^5$ is —

The expansion of $(1+y)^2$ is —

The expansion of $(1+y)^3$ is —

The coefficients in the expansion of $(1+y)^n$ are called —

The triangular arrangement of binomial coefficients was first used by —

In Pascal's Triangle, the leftmost and rightmost numbers of every row are —

In Pascal's Triangle, each middle number is —

The binomial coefficients for $n=4$ are —

The binomial coefficients for $n=5$ are —

The binomial coefficients for $n=6$ are —

The binomial coefficients for $n=7$ are —

The largest binomial coefficient in the expansion of $(1+y)^4$ is —

The middle coefficient in the expansion of $(1+y)^6$ is —

The sum of the binomial coefficients in the expansion of $(1+y)^3$ is —

From Pascal's Triangle, the coefficient of $y^2$ in $(1+y)^5$ is —

From Pascal's Triangle, the coefficient of $y^3$ in $(1+y)^6$ is —

The coefficient of $y^4$ in the expansion of $(1+y)^7$ is —

The value of $5!$ is —

The value of $6!$ is —

The value of $4!$ is —

The value of $0!$ is —

The general expression for $n!$ is —

The value of $\dfrac{7!}{5!}$ is —

The formula for $\binom{n}{r}$ is —

The value of $\binom{n}{0}$ is —

The value of $\binom{n}{n}$ is —

The value of $\binom{n}{1}$ is —

The value of $^5C_2$ is —

The value of $^7C_3$ is —

The value of $^8C_2$ is —

The value of $^6C_3$ is —

Which of the following is equal to $^7C_3$?

The relationship $\binom{n}{r} = \,^nC_r$ implies that —

The number of terms in the expansion of $(x+y)^n$ is —

In every term of the expansion of $(x+y)^n$, the sum of the powers of $x$ and $y$ equals —

In the expansion of $(x+y)^n$, the powers of $x$ change from —

The general term $T_{r+1}$ in the expansion of $(1+y)^n$ is —

The general term $T_{r+1}$ in the expansion of $(x+y)^n$ is —

The expansion of $(x+y)^5$ is —

In the expansion of $(x+y)^5$, the coefficient of $x^3y^2$ is —

In the expansion of $(1+3x)^5$, the coefficient of $x$ is —

In the expansion of $(1+3x)^5$, the coefficient of $x^2$ is —

In the expansion of $(1+3x)^5$, the coefficient of $x^3$ is —

The last term in the expansion of $(1+3x)^5$ is —

In the expansion of $(1-3x)^5$, the coefficient of $x^3$ is —

The expansions of $(1+3x)^5$ and $(1-3x)^5$ differ only in —

The first term in the expansion of $\left(1+\dfrac{2}{x}\right)^8$ is —

In the expansion of $\left(1+\dfrac{2}{x}\right)^8$, the coefficient of $\dfrac{1}{x}$ is —

In the expansion of $\left(1+\dfrac{2}{x}\right)^8$, the coefficient of $\dfrac{1}{x^2}$ is —

In the expansion of $\left(1+\dfrac{2}{x}\right)^8$, the coefficient of $\dfrac{1}{x^3}$ is —

In the expansion of $\left(x+\dfrac{1}{x}\right)^6$, the term independent of $x$ is —

The first term in the expansion of $(3+2x)^5$ is —

In the expansion of $(3+2x)^5$, the coefficient of $x$ is —

In the expansion of $(3+2x)^5$, the last term is —

The first term in the expansion of $\left(2-\dfrac{x}{2}\right)^7$ is —

In the expansion of $\left(2-\dfrac{x}{2}\right)^7$, the coefficient of $x$ is —

In the expansion of $\left(2-\dfrac{x}{2}\right)^7$, the coefficient of $x^2$ is —

The approximate value of $(1.995)^7$ up to four decimal places is —

In the expansion of $\left(x-\dfrac{1}{x^2}\right)^5$, the first term is —

In the expansion of $\left(x-\dfrac{1}{x^2}\right)^5$, the coefficient of $x^2$ is —

In the expansion of $\left(2x^2-\dfrac{1}{x}\right)^8$, the first term is —

In the expansion of $\left(2x^2-\dfrac{1}{x}\right)^8$, the second term is —

The coefficients of expansion of $(x+y)^5$ are —

In the expansion of $(1-x)\left(1+\dfrac{x}{2}\right)^8$, the coefficient of $x$ is —

Consider the expansion of $(1+2x+x^2)^2$:

In the expansion of $\left(x+\dfrac{1}{x}\right)^n$ where $n$ is even, if the $(r+1)$th term is free of $x$, then $r$ equals —

In the expansion of $\left(x+\dfrac{1}{x}\right)^4$, the fourth term is —

Using Pascal's Triangle, the expansion of $(1+x)^4$ is —

In the expansion of $(1-x)^8$, the coefficient of $x^2$ is —

Using binomial expansion, the approximate value of $(0.99)^8$ up to four decimal places is —

In the expansion of $\left(2x^3-\dfrac{1}{x^5}\right)^{10}$, the middle term is the —

The expansion of $(1-2x^2)^5$ is —

In the expansion of $(1+x/2)^n$, if the coefficient of the third term is twice the coefficient of the fourth term, then $n$ equals —

In the expansion of $(A+3x)^7$, if the coefficient of $x^4$ is $22680$, then $A$ equals —

In the expansion of $(2+x)^n$, if the coefficients of the $5$th and $6$th terms are equal, then $n$ equals —

Which of the following is the larger value?

Using Pascal's Triangle, the expansion of $(1+2x)^5$ is —