Factorising a Monomial

Q.

Which of the following is a factor of 2$\pi$(h+r)?

1. h+r

2. h

3. 2h
4. 2r

Q.

Factorize: $p^2+10p+25$

1. $(p+5{)}^2$
2. $(p-5{)}^2$
3. $(2p+5{)}^2$
4. $(2p-5{)}^2$

Q. Factorize $22x{y}^2$ and write it in product form

1. $20\times 2\times x\times y\times y$
2. $2\times 2\times x\times y\times y$
3. $2\times 11\times x\times y\times y$
4. $2\times 11\times x\times x\times y$
   

Q.

write all the terms of the algebraic expression

$3x+4y-z$

Q. Number of factors of 12 are

1. 1
2. 5
3. 12
4. 6

Q. Factorize $445p^{2}q$ and write it in product form

1. $445\times p\times p\times q$
2. $5\times 89\times p\times p\times q$
3. $5\times 87\times p\times p\times q$
4. $5\times 89\times p\times q\times q$

Q.

Factorise the given expression:
$xy-pq+qy-px$

1. $(p-y)(x+q)$

2. $(y-p)(x+q)$

3. $(y-p)(x-q)$

4. $(y-x)(p+q)$

Q.

Write constant terms in the following algebraic expressions:

$x^{2}y-x{y}^2+5xy-4$

Q. $25m^2+30m+9$

1. $(5m+6{)}^2$
2. $(5m+2{)}^2$
3. $(5m+1{)}^2$
4. $(5m+3{)}^2$

Q. Factorize $201a^{2}b$ and write it in product form

1. $20\times 1\times a\times b\times b$
2. $3\times 67\times a\times a\times b$
3. $3\times 73\times a\times a\times b$
4. $3\times 67\times a\times b\times b$

Q.

Simplify: $(3x-2y)(3x+4y)-(3x+2y)(3x-2y)$

1. $0$

2. $-4y^2+6xy$

3. $2y(-2y+3x)$

4. $BothBandC$

Q.

Which among the following is not a factor of $4y(y+3)$?

1. $y^2$ + 3$y$

2. 4$y^2$

3. 4($y$ + 3)

4. $4y$

Q.

$\text{Which of the following represents the}\text{factorisation of}2xy+6y^2?$

1. $2y(x+3y)$

2. $3y(x+2y)$

3. $4x(x+3y)$

4. $6y(x+y)$

Q.

The common factor of 3ab and 2cd is:

1. 1

2. -1

3. a

4. c

Q.

Unlike terms can be _______.

1. added

2. multiplied

3. subtracted

4. both added and subtracted