Question

Factorise the following expression.

4x² − 8x + 4 

Answer 1

4x² − 8x + 4

= (2x)² − 2 (2x) (2) + (2)²

= (2x − 2)² [(a − b)² 

= a² − 2ab + b²]

= [(2) (x − 1)]² 

= 4(x − 1)² 

= 4(x − 1) (x − 1)