Question

1-2x+x^2 factorise it

Answer 1

Here, we are given to factorise,


1 - 2x + x²


Here, we can see that,


1 = (1)²

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

x² = (x)²


=> 1 - 2x + x²

= (1)² - 2(x)(1) + (x)²


Using,

a² - 2ab + b² = (a - b)², we get

(1)² - 2(x)(1) + (x)²

= (1 - x)²

Second method :-


1 - 2x + x²

= x² - 2x + 1

= x² - x - x + 1

= x(x - 1) - 1(x - 1)

= (x - 1)(x - 1)

= (x - 1)²

Hope it helps dear friend ☺️

Answer 2

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