Factorisation of Polynomials Maths - Factorisation of Polynomials

4a² + b² + 4ab + 8a + 4b + 4 = ?

1. (2a + b + 2)²
2. (2a - b + 2)²
3. (a + 2b + 2)²
4. None of these

If x + y + z = 9 and xy + yz + zx = 23, the value of (x³ + y³ + z³ - 3xyz) = ?

1. 108
2. 207
3. 669
4. 729

3x³ + 2x² + 3x + 2 = ?

1. (3x - 2)(x² - 1)
2. (3x - 2)(x² + 1)
3. (3x + 2)(x² - 1)
4. (3x + 2)(x² + 1)

6x² + 17x + 5 = ?

1. (2x + 1)(3x + 5)
2. (2x + 5)(3x + 1)
3. (6x + 5)(x + 1)
4. None of these

Factorise:
9x² + 12xy

Factorise:
a³ + a - 3a² - 3

Factorise:
8 - 4a - 2a³ + a⁴

Factorise:
x² - xy + y - x

Factorise:

3ax - 6ay - 8by + 4bx

Factorise:
21x² + 5x - 6

Factorise:
x² - 4x + 3

Factorise:
x² + 19x - 150

Factorise:
2x² - 7x - 15

Factorise:
2(x + y)² - 9(x + y) - 5

Factorise:
4x⁴ + 7x² - 2

Factorise:
(a - 3b)³ + (3b - c)³ + (c - a)³

Factorise:
a³(b - c)³ + b³(c - a)³ + c³(a - b)³

Evaluate:
(-12)³ + 7³ + 5³

Evaluate:
(28)³ + (-15)³ + (-13)³