Factorisation Using Algebraic Identities

Q. Question 2(i)
Factorise
$4p^2-9q^2$

Q.

Factorise: $6x^2+17x+5$.

Q.

Factorise:
$x^2+8x+16$

Q.

How do you factor completely $\left(x^3-1\right)$?

Q.

Factorise :

$16x^5-144x^3$

Q.

Factorise Completely : $a^4-b^4$

Q.

Factorise: (l + m)² - (l - m)²

Q.

Factorise:
$p^2-10p+25$

Q.

Factorise :

$4x^2-9y^2$

Q.

Factorize $x^4-y^4$ by using identity $a^2-b^2=(a+b)(a-b)$.

Q. Question 5(ii)
Factorise the following expressions
$q^2-10q+21$

Q.

Factorise :

$x^2-y^2-2y-1$

Q. Question 4(ii)
Factorise
$p^4-81$

Q.

How do you factor $x^5-y^5$?

Q. Question 28

The factors of $x^2-4$ are
a) $(x-2),(x-2)$
b) $(x+2),(x-2)$
c) $(x+2),(x+2)$
d) $(x-4),(x-4)$

Q.

Factorise the following expressions :
$a^2+8a+16$

Q.

Factorise: $2x^4-32$

Q.

Factorise:
$x^2+14x+49$

Q.

Factorise

$63a^2-112b^2$

Q. Factorise:
$m^4+m^2+1.$

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

Q. Question 1(iii)
Factorise the following expressions
$25m^2+30m+9$

Q. Factorize $x^3-3x^2-9x-5$

1. $(x+1{)}^2(x-5)$
2. $(x-1{)}^2(x-5)$
3. $(x+1)(x+5)(x-1)$
4. None of the above

Q.

Factors of $49p^2-36$ is/are:

1. $(7p-6)$

2. $(7p+6)$

3. $(7p+6)(7p+6)$

4. $(6p+7)$

Q.

Factorise:
$z^2+z+\frac{1}{4}$

Q.

Factorise:
$9a^2-b^2+4b-4$

Q.

Factorise the following expression: $p^4-81$

Q.

Factorise :

$1-(b-c{)}^2$

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

Q.

Factorise Completely : $625-x^4$

Q. Question 21

Factorised form of $p^2-17p-38$ is
a) $(p-19)(p+2)$
b) $(p-19)(p-2)$
c) $(p+19)(p+2)$
d) $(p+19)(p-2)$