Question

Factorise completely: x³+x²-4x-4​

Answer 1

Answer:

Let's see if we can find a common factor.

x³ - x² + 4x - 4 can be re-written as (x³ - x²) + (4x - 4) = x²(x - 1) + 4(x - 1)

There is a common factor of (x - 1), so we now have:

(x- 1)(x² + 4)

Answer 2

Answer:

(X+2)(X+2)(X+1)

Step-by-step explanation:

x³+x²-4x-4

=x³-2x²+3x²-6x+2x-4

=x²(x-2)+ 3x(x-2)+ 2(x-2)

=(x-2) (x²+3x+2)

=(x+2) (x²+2x+x+2)

=(x+2) {x(x+2)+1(x+2)}

=(x+2) (x+2) (x+1)