Free Printable Newton's Binomial

1.

expand $\left(a+b\right)^n$ , general term is

a)

$C_n^ka^{n-k}.b^k$

b)

$C_n^{k+1}a^{n-k}.b^k$

c)

$C_n^ka^n.b^k$

d)

$C_n^ka^{n-k}.b^{k+1}$

2.

expand $\left(x-y\right)^5$

a)

$x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$

b)

$x^5-5x^4y-10x^3y^2-10x^2y^3-5xy^4-y^5$

c)

$x^5-5x^4y+10x^3y^2-10x^2y^3+5xy^4-y^5$

d)

$x^5+5x^4y-10x^3y^2+10x^2y^3-5xy^4+y^5$

3.

How many terms are there in the expansion of $\left(a+b\right)^n$ ?

a)

n-1

b)

n

c)

n+1

d)

2n

4.

in expand $\left(a+b\right)^{2n}$ . What is the sum of the exponents of a and b in each term?

a)

2n+1

b)

n

c)

2n

d)

Không xác định

5.

expand $\left(x+2\right)^{n+5},\left(n\epsilon N\right)$ We have 2022 tems.

Find n=?

a)

2016

b)

2017

c)

2022

d)

2020

6.

What is the Coefficient of $x^6$ in expanding $\left(1+x\right)^{10}$ ?

a)

$6$

b)

$A_{10}^6$

c)

$C_{10}^6$

d)

6!

7.

What is the Coefficient of $x^3$ in expanding $\left(x-2\right)^8$ ?

a)

$C_8^3.2^3$

b)

$-C_8^5.2^5$

c)

$C_8^5.2^5$

d)

$-C_8^3.2^3$

Newton's Binomial

Total questions: 7

Worksheet time: 4mins

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