Multiplication of Monomials

Q.

Question 4(iii)

Give expression for the following cases.

p multiplied by 7.

Q. Question 88 (x)

Factorise the following expression.

$24x^{2}y{z}^3-6x{y}^3{z}^2+15x^2{y}^{2}z-5xyz$

Q.

$m^n{n}^m\times m^m{n}^n$ equals

1. $(m+n{)}^{mn}$

2. $(n{)}^{m+n}$

3. $(m{)}^{m+n}$

4. $(mn{)}^{m+n}$

Q.

A monomial added to/subtracted from a monomial is always a monomial.

1. True

2. False

Q.

Using the identities of algebraic expressions, Find :

$\left(i\right){102}^2$

$\left(ii\right){53}^2$

$\left(iii\right){1001}^2$ [3 MARKS]

Q.

Multiply $11x{y}^{2}and-8x{y}^3$

1. 

2. 

3. 

4. 

Q.

The product of $mn,mnp$ and $np$ is

1. $m^2{n}^2{p}^2$

2. $m{n}^3{p}^2$

3. $m^2{n}^{3}p$

4. $m^2{n}^3{p}^2$

Q.

Find $4abc-6ca+4ab-2bc$, if $a=2,b=-3$ and $c=5$.

Q. The degree of monomial $7x^2{y}^3{z}^4$ is

1. $10$
2. $9$
3. $8$
4. $7$

Q.

Find the product of $\frac{4}{6}ab$ and $\frac{-3}{10}{x}^{2}y$.

1. $\frac{-1}{5}abxy$

2. $\frac{-1}{5}ab{x}^{2}y$

3. $\frac{1}{5}ab{x}^{2}y$
   

4. $\frac{1}{5}abxy$
   

Q. $A\mathrm{number}\mathrm{which}\mathrm{when}\mathrm{divided}\mathrm{by}\frac{14}{17}\mathrm{gives}\frac{34}{7}\mathrm{as}\mathrm{the}\mathrm{quotient}.\mathrm{Find}\mathrm{the}\mathrm{number}.$

1. 4
2. $\frac{17}{34}$
3. $\frac{34}{17}$
4. 1

Q. The number of terms that you get on simplifying $(7x+12)(3x-4)$ is___.

Q.

When we multiply a monimial with another monomial we get a

1. Monomial

2. Trinomial

3. Polynomial

4. Binomial

Q. Find the values of the following polynomials at $a=-2$ and $b=3$.
(i) $a^3-3a^{2}b+3a{b}^2-b^3$
(ii) $a^2+b^2-ab-b^2-a^2$

Q.

Fill in the blank:

17 × 56 = (17 × 50) + (17 × ___ )

1. 17
2. 6
3. 16
4. 56

Q.

$ab\times a\times ab\times b$ equals

1. $ab$

2. $a^2{b}^2$

3. $a^3{b}^3$

4. $a^4{b}^4$

Q.

The number of terms that you get on simplifying $(3x+5)(x-4)$ is___.

Q.

Fill in the blank:

17 × 56 = (17 × 50) + (17 × ___ )

1. 17
2. 6
3. 16
4. 56

Q. Find the number of terms in the simplified form of (2x + 7)(7x - 2).

1. 2
2. 1
3. 4
4. 3

Q. $15x^3+x^2+x=?$ if $x=7$

Q. 2ab multiplied by 2cd equals _____.

1. 2bcd
2. 4abcd
3. 4bcd
4. 2abcd

Q.

Which one is greater?

${\left(3^2\right)}^4$ or $\left(3^2\right)\times 4$

Q. Identify the monomial among the following.

1. 4a + c
2. 8z
3. 2a + 6b + 5c
4. t +3

Q. What is the multiplication of the numbers $1\frac{1}{3}\times 3\frac{1}{4}\times \frac{7}{8}$ ?

1. $3\frac{18}{24}$
2. $2\frac{19}{24}$
3. $3\frac{19}{24}$
4. $2\frac{18}{24}$