By Grouping

Q. Factorize:

x⁴ + x²y² + y⁴

Q.

Factorise: (2x-3)^2-8x+12

Q.

Factorise:
$x^3-x^2+ax+x-a-1$

Q.

Factorise:

$x(x-2)(x-4)+4x-8$

Q.

Factorise:

$a^2{x}^2+(a{x}^2+1)x+a$

Q.

Factorise:
$a^{3}b-a^{2}b+5ab-5b$

Q.

Factorise:
$ab{x}^2+a^{2}x+b^{2}x+ab$

Q.

Factorise x² + x/6 -1/6

Q.

Factorise:
$2x+4y-8xy-1$

Q.

Factorise:
3ax-6ay-8by+4bx

Q.

Factorize $\frac{8}{27}{x}^3+1+\frac{4}{3}{x}^2+2x$

Q. Factorise 6x^2+17x+5 using factor theorem.

Q.

Factorise:
$x^3+2x^2+5x+10$

Q.

Factorise:
$a^2+ab(b+1)+b^3$

Q.

Factorise:
$8-4a-2a^3+a^4$

Q.

Factorize the following expression:

$18x^{2}y-24xyz$

Q.

Factorise:
px-5q+pq-5x

Q.

Factorize: 125a³ – 27b³ – 225a²b + 135ab².

1. (5a – 3b) (5a – 3b) (5a – 3b)

2. (5a + 3b) (5a – 3b) (5a + 9b)

3. (3a – 5b) (5a – 3b) (3a + 5b)²

4. (3a – 5b) (3a – 5b) (3a – 5b)

Q.

Factorise:
a(a+b-c)-bc

Q. Factorize:
6x² − 5x − 21

Q. Factorize: 4x² + 9y² + 16z² + 12xy − 24yz − 16xz.

Q.

The factorized form of $3x–24$ is _________

1. $3x\times 24$

2. $3(x–8)$

3. $24(x–3)$

4. $3(x–12)$

Q. Factorize: $5-(3a^2-2a)(6-3a^2+2a)$

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

Q.

Factorise:

(x-3y)³+(3y-7z)³+(7z-x)³

Q.

Factorise:
$(2x-3{)}^2-8x+12$

Q.

2(2x-5y) (3x+4y)-6(2x-5y) (x-y)

Factorise by taking out the common factors

Q. Factorise: $12(x^2+7x{)}^2-8(x^2+7x\left)\right(2x-1)-15(2x-1{)}^2$.

Q. Question 23
Factorise
(i) $x^2+9x+18$
(ii) $6x^2+7x-3$
(iii) $2x^2-7x-15$
(iv) $84-2r-2r^2$

Q.

Factorise 6x^2+17x+5 by factor theorem.

Q. Factorise
$\frac{a^3}{b^3}+\frac{b^3}{c^3}+\frac{c^3}{a^3}-3$