Introduction to Factorisation

Q.

Factorize the following expression: $y(y+z)+9(y+z)$.

Q. $\text{Which of the following is the irreducible}\text{form of}12a(a+2)?$

1. $2\times 6\times a\times (a+2)$
2. $3\times 4\times a\times (a+2)$
3. $2\times 2\times 3\times a\times (a+2)$
4. $2\times 6\times a(a+2)$

Q.

Factorise $121x^2-49y^2$.

Q. $\text{If}y=2,\text{then find the value of}\frac{(x{y}^2+2x)}{x}.$

1. 6
2. 7
3. 8
4. 9

Q. $\text{Find the factors of}(ax+by+bx+az+ay+bz).$

1. $(bxc+ay),(ax+by)$
2. $(a+b),(2x+2y+2z)$
3. $(x+y+z),(a+b)$
4. $(bc+axy),(a+by)$

Q. Factorize the following:
$9x^{2}y+3axy$

Q. $96abc(3a-12)(5b-30)÷144(a-4)(b-6)=\text{\_\_\_\_\_\_\_\_\_\_}$

1. $14abc$
2. $10abc$
3. $8abc$
4. $12abc$

Q. Which of the following are the factors of 3ab(a + b)?

1. a and b
2. 3, a and b
3. 3, a, b and (a + b)
4. a, b and (a + b)

Q.

Write all the factors of the given number: $51$

Q. Which of the following is not a factor of 15?

1. 1
2. 6
3. 3
4. 15

Q. Find the common irreducible factors of
$12a^{2}band15a{b}^2.$

1. $2,a\text{and}b$
2. $3,a\text{and}b$
3. $2,a\text{and}{b}^2$
4. $3,a^2\text{and}b$

Q. Which of the following are the factors of 3ab(a + b)?

1. a and b
2. 3, a and b
3. 3, a, b and (a + b)
4. a, b and (a + b)

Q.

Factorise: $x^2+10x+25$

Q. Find the number of factors of 18.

1. 3
2. 6
3. 4
4. 8

Q. Factorize the following expression:

$4(xy+1{)}^2-9(x-1{)}^2$