Simplify 15 (x - 4) (x - 1) - 3 (x + 4) (x - 1) with steps

12 (x-1) (x-6)

Step-by-step explanation:

15 (x - 4) (x - 1) - 3 (x + 4) (x - 1)

We can factor out a 3 from both terms

3 (5 (x - 4) (x - 1) - (x + 4) (x - 1))

We can also factor out (x-1)

3 (x-1) [5 (x - 4) - (x + 4) ]

Distribute inside the brackets

3 (x-1) [5x-20 - x-4]

Combine like terms

3 (x-1) [4x-24]

We can factor out a 4

3 (x-1) 4[x-6]

12 (x-1) (x-6)