Division of a Monomial by Another Monomial

Q.

Factorise: $4p^2-9q^2$.

Q.

Factorize: $2x^2+y^2+8z^2-2\sqrt{2}xy+4\sqrt{2}yz-8zx$.

Q.

To get 5/3 , by what number should 5/9 be divided

Q. Factorize

​$m^4-256$ [4 MARKS]

Q. Factorise the following expressions.
(i) $a^2+8a+16$
(ii) $p^2-10p+25$
(iii) $25m^2+30m+9$
(iv) $49y^2+84yz+36z^2$
(v) $4x^2-8x+4$
(vi) $121b^2-88bc+16c^2$
(vii) $(l+m{)}^2-4lm$
(viii) $a^4+2a^2{b}^2+b^4$

Q. Question 1(v)
Carry out the following divisions.
$12a^8{b}^8÷(-6a^6{b}^4)$

Q. Question 1(iv)
Carry out the following divisions
$34x^3{y}^3{z}^3÷51x{y}^2{z}^3$

Q.

On dividing $57p^{2}qr$ by $114pq$, we get-

1. $\frac{1}{4}pr$

2. $\frac{3}{4}pr$

3. $\frac{1}{2}pr$

4. $2pr$

Q.

1. 2x = 7

2. 

3. 

4. 7x = 7

Q. Question 29

The value of $(-27x^{2}y)÷(-9xy)$ is
a) $3xy$
b) $-3xy$
c) $-3x$
d) $3x$

Q. Tick (✓) the correct answer:
(2x + 3)(3x − 1) = ?
(a) (6x² + 8x − 3)
(b) (6x² + 7x − 3)
(c) 6x² − 7x − 3
(d) (6x² − 7x + 3)

Q.

Question 1(ii)
Carry out the division.
$-36y^3÷9y^2$

Q.

Carry out the following division: $-36{\mathrm{y}}^3÷9{\mathrm{y}}^2$

Q. Question 1(i)
Carry out the following divisions
$28x^4÷56x$

Q.

Divide as directed: $5(2x+1)(3x+5)÷(2x+1)$

Q.

Question 94 (i)

Carry out the following division:

$51x^3{y}^{2}z÷17xyz$

Q.

Question 94 (iv)

Carry out the following division:

$-121p^3{q}^3{r}^3÷(-11x{y}^2{z}^3)$

Q. Question 16
Find and correct the errors in the statement: $\frac{3x^2}{3x^2}=0$

Q.

Divide as directed: $x(x+1)(x+2)(x+3)÷x(x+1)$

Q. Question 1(iv)
Carry out the following divisions
$34x^3{y}^3{z}^3÷51x{y}^2{z}^3$

Q. The product of two fractions is $9\frac{3}{5}.$ If one of the fractions is $9\frac{3}{7},$ find the other.

Q. Question 1(v)
Carry out the following divisions.
$12a^8{b}^8÷(-6a^6{b}^4)$

Q. Question 16
Find and correct the errors in the statement: $\frac{3x^2}{3x^2}=0$

Q.

Question 1(iii)
Carry out the following divisions.
$66p{q}^2{r}^3÷11q{r}^2$

Q.

The quotient obtained when $p{q}^2+5pq+6p$ divided by $pq+2p$ is:

1. q + 3

2. q - 3

3. q + 2

4. pq + 3p

Q. $25a^2{b}^3÷5a^{2}b=$ ___________.

1. $5b^2$
2. $5a^2$
3. $5a^2{b}^2$
4. $5a{b}^2$

Q. find G.C.D of the following algebraic expression: $x^3-3x^{2}y,x^2-9y^2$

Q.

If a = 3x − 5y, b = 6x + 3y and c = 2y − 4x, find

(i) a + b − c; (ii) 2a − 3b + 4c.

Q. Question 1(i)
Carry out the following divisions
$28x^4÷56x$

Q.

Question 1(iii)
Carry out the following divisions.
$66p{q}^2{r}^3÷11q{r}^2$