Algebraic Factorisation

Factorise the following expression by grouping: 2x² + 3x + 4x + 6

• x(2x + 3) + 2(x + 3)

• x(2x + 3) + 2x(2 + 3)

• 2x(x + 3) + 2(2x + 3)

• x(2x + 3) + 2(2x + 3)

Factorise the following expression as a difference of squares: 9x² - 16

• (3x - 4)(3x + 4)

• (9x - 16)

• (3x - 4)(3x - 4)

• (3x - 5)(3x + 5)

Factorise the following expression using trial and error: x² + 5x + 6

• (x + 4)(x + 2)

• (x + 2)(x + 3)

• (x + 3)(x + 2)

• (x + 1)(x + 6)

Factorise the following expression by taking out the common factor: 3x² + 6x

• 3x(x - 2)

• 3x²+ 6x

• 3(x² + 2x)

• 3x(x + 2)

Factorise the following expression by grouping: 4x² - 12x + 3x - 9

• 4x(x - 3) + 3(x - 3)

• 4x(x + 3) - 3(x + 3)

• 4x(x - 3) - 3(x - 3)

• 4x(x + 3) + 3(x - 3)

Factorise the following expression as a difference of squares: 25x² - 36

• (5x + 6)(5x + 6)

• (5x + 6)(5x - 6)

• (5x - 6)(5x - 6)

• (25x + 36)(25x - 36)

Factorise the following expression using trial and error: x² + 7x + 10

• (x+8)(x+5)

• (x+6)(x+1)

• (x+5)(x+2)

• (x+3)(x+4)

Factorise the following expression by taking out the common factor: 4x² - 8x

• 2x(x - 4)

• 4x² - 8x

• 4x(x + 2)

• 4x(x - 2)

Factorise the following expression by grouping: 6x² + 9x - 4x - 6

• 3x(2x + 3) - 2(2x + 3)

• 6x(2x + 3) - 4(2x + 3)

• 3x(2x - 3) - 2(2x - 3)

• 3x(2x - 3) - 2(2x + 3)

Factorise the following expression as a difference of squares: 16x² - 25

• (4x + 5)(4x + 5)

• (4x + 5)(4x - 5)

• (16x + 25)(16x - 25)

• (4x - 5)(4x + 5)