Factorising expressions

Fully factorise:

ab(x-1)+c(x-1)

• (x-1)(ab+c)

• (ab-1)(x+1)

• (x+ab)(x-1)

• (x+1)(ab+c)

Fully factorise:

a(x+2)-x-2

• (ax-1)(x-2)

• (x-2)(ax+2)

• (x+2)(a-1)

• (x-2)(a+1)

Fully factorise:

(x+2)²+2x+4

• (x+2)(x+4)

• (x+2)(x-4)

• (2x+1)(x+1)

• (x+2)(x+1)

Fully factorise:

ab²+a²b

• (a+b)(a-b)

• ab(a+b)

• (a-b)ab

• (a+b)²

Fully factorise:

-4x²+8x

• -2x(2x-4)

• -4x(x+2)

• -4x(x-2)

• (2x-4)²

Fully factorise:

x²-4

• (x+2)(x-2)

• (x-2)(x-2)

• (x+2)(x+2)

• x(x-4)

Fully factorise:

4x²-9

• (x-3)²

• 2(x-3)(x+3)

• (2x-3)(2x+3)

• (2x-3)²

If possible, factorise into linear factors:

(x+1)²-6

• no liear factors

Factorise:

(x+1)²-4

• (x+3)(x+1)

• (x-3)(x+3)

• (x+3)(x-1)

• (x+1)(x-4)

Factorise:

16x²-(2x+3)²

• 2(3x+1)(3x-3)

• 3(2x+1)(2x-3)

• 4(x+1)(4x-3)

• 3(x-4)(x-2)