Question

Factorise Y^2 - 2y +1-x^2

Answer 1

Answer:

( x - y - 1 ) (x + y + 1)

Step-by-step explanation:

=X^2-(y^2+2y+1^2)

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

={x-(y+1)} {x+(y+1)}

=(x-y-1)(x+y+1)

Answer 2

Answer we have to factories

$y^2 - 2y + 1 - x^2$

First we will factories

$y^2 - 2y + 1$

$= y^2 - y - y + 1$

$= y(y -1) -1(y -1)$

$= (y-1)(y-1)$

$= (y-1)^2$

Now our equation became

$= (y-1)^2 - x^2 \\ = ((y-1) + x) ((y-1)-x) \\ = (y -1 +x )(y-1-x)$