Factorise completely. 3(x – 1)2 + (x – 1)

Answer 1

3(x-1)^2 + (x-1)

= (x-1)[3(x-1) + 1]

= (x-1)(3x -3 +1)

= (x-1)(3x-2)

3(x-1)^2 + x-1

=3(x^2-2x+1) + x-1

= 3x^2 -6x +3 + x -1

= 3x^2 -5x + 2

= (3x -2)(x-1)