Question

Factorise (x-1)^2-(x-2)^2

Answer 1

Answer:

(x-1)²-(x-2)²

= (x²-2.x.1+1²)-(x²-2.x.2+2²)

${(a - b)}^{2} = {a}^{2} - 2ab + \: {b}^{2}$

= (x²-2x+1)-(x²-4x+4)

= x²-2x+1-x²+4x-4

= 2x-3