Division of an Expression by a Expression

Q. $\text{Divide}z(5z^2-80)\text{by}5z(z+4).$

1. $(z-16)$
2. $(z+16)$
3. $(z-4)$
4. $(z+4)$

Q.

What is the $n^{th}$ term of a sequence?

Q.

In a GP, $t_2+t_5=216$ and $t_4:t_6=1:4$ and all terms are integers, then its first term is

1. $16$

2. $14$

3. $12$

4. None of the above

Q. Question 87 (x)

Write the greatest common factor in the following terms.

$11x^2,12y^2$

Q. Question 17

Common factor between $17abc,34a{b}^2,51a^{2}b$ is
a) $17abc$
b) $17ab$
c) $17ac$
d) $17a^2{b}^{2}c$

Q.

Carry out the multiplication of the expressions for the following pairs $4\mathrm{p},\mathrm{q}+\mathrm{r}$.

Q. $Simplify:(xy-ab+bx-ay)÷(x-a)$

1. $y-b$
2. $y+b$
3. $x+a$
4. $a-b$

Q. $\text{Divide}(x^2-2x-35)\text{by}(x-7)$

1. $(x-3)$
2. $(x+3)$
3. $(x+5)$
4. $(x-5)$

Q.

Simplify the expression:

$\frac{(p^3+11p^2+28p)}{(p+4)}$

1. $(p+7)$
2. $p(p+8)$
   
3. $p(p+7)$
4. $(p+8)$

Q. $\text{Simplify:}(5p^2-25p+20)÷(p-4).$

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

Q. $Simplify:(z-19+19xy-xyz)÷(z-19)$

1. $1-xyz$
2. $1-xy$
3. $1+xy$
4. $1+xyz$

Q. $Simplify:(xy-ab+bx-ay)÷(x-a)$

1. $y-b$
2. $y+b$
3. $x+a$
4. $a-b$

Q. Find x, if
$x(x+7)=\frac{(x^2+11x+28)}{(x+4)}.$

1. 1
2. 2
3. 3
4. 0

Q.

Question 87 (i)

Write the greatest common factor in the following:

$-18a^2,108a$

Q. Divide the expression
$\{x^2+\frac{1}{x^2}+2-2x-\frac{2}{x}\}\text{by}\{x+\frac{1}{x}-2\}.$

1. $(x^2+\frac{1}{x^2})$
2. $(x^2-\frac{1}{x^2})$
3. $(x+\frac{1}{x})$
4. $(x-\frac{1}{x})$

Q. $(6ab-b^2+12ac-2bc)dividedby(6a-b)$ gives .

1. $(b+2c)$
2. $(b-2c)$
3. $(2b-c)$

Q. Divide$\left\{52\right(m^4-5m^3-24m^2\left)\right\}\text{by}\left\{13m\right(m-8\left)\right\}.$

1. $4m(m-3)$
2. $4m(m+3)$
3. $4m(m-4)$
4. $4m(m+4)$

Q. Divide the expression
$(ax+by+bx+az+ay+bz)\text{by}(a+b).$

1. $(x+y+z)$
2. $(x+y)$
3. $(x+y+b)$
4. $(x+y+a)$

Q.

If $5x–20<5(8-x)$ , then the highest integral value of x is,

1. 7

2. 0

3. 5

4. 4

Q. Simplify:
$\frac{m^2+3m}{m^2+4m+3}\times \frac{m^2-2m-3}{m^2-9}$

1. 
2. 
3. 
4. 

Q. $\text{Divide}39y^2(25y^2-49)\text{by}13y(5y+7).$

1. $3y(5y-14)$
2. $3y(5y-17)$
3. $3y(5y-7)$
4. $3(5y-8)$
   

Q. $\frac{(x^2-b)(x-a)}{(a-x)}$ =

1. $(b^2-x^2)$
2. $(x^2-b)$
3. $(b+x^2)$
4. $(b-x^2)$

Q. $\text{Divide}(6ab-b^2+12ac-2bc)\text{by}(b+2c)$

1. $6a-b$
2. $6a-c$
3. $6b-a$
4. $6c-a$

Q. $\frac{(x^2-b)(x-a)}{(a-x)}$ =

1. $(b^2-x^2)$
2. $(x^2-b)$
3. $(b+x^2)$
4. $(b-x^2)$

Q.

Divide $(x^2+3)(x^2-3)+9$ by $x^4$ [1 MARK]

Q. $\text{Simplify:}(5p^2-25p+20)÷(p-4).$

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

Q. $Simplify:(z-19+19xy-xyz)÷(z-19)$

1. $1-xyz$
2. $1-xy$
3. $1+xy$
4. $1+xyz$

Q. $\frac{(3y+12b)(5a-b)}{(y+4b)(25a^2-b^2)}=$

1. $\frac{3}{\text{5a-b}}$
2. $\frac{3}{\text{5a+b}}$
3. $\frac{3}{\text{3a+b}}$
4. $\frac{5}{\text{5a+b}}$

Q.

$\text{Divide}{m}^2+7m-60\text{by}(m-5).$

1. 4(m - 6)

2. 2(m + 6)

3. (m + 12)

4. (m - 12)

Q. $\text{Simplify the expression:}\frac{52wxyz(xy+yz+xz+y^2)(z+x)}{104xy(xyz+x{z}^2+y{z}^2+y^{2}z)}$

1. $\frac{x(z-x)}{2}$
2. $\frac{x(z+x)}{2}$
3. $\frac{w(z+x)}{2}$
4. $\frac{w(z-x)}{2}$