Question

factorise
(x - y) + (y - x)2 is equal to ​

Answer 1

Answer:

How can I factor (x² - y² + x - y)? I have the answer but cannot, for the life of me, figure out how to get there?

Try to separate it into different parts and try to use a substitution as follows:

step 1 factorise x2−y2 :

x2−y2=(x+y)(x−y)

step 2 let a=x−y :

so

x2−y2+x−y=(x+y)(x−y)+(x−y)

replacing x-y to a becomes

x2−y2+x−y=(x+y)a+a

=a((x+y)+1))

taking back from a the x-y:

a((x+y)+1))=(x−y)(x+y+1)

Answer 2

Answer:

-x +y

Step-by-step explanation:

Simply open the bracket by multiplying (y - x) with 2 and also keep the sign in mind

You will get x - y +2y - 2x = - x + y