Question

factorise x^2-y^2-x-y​

Answer 1

HEY MATE HERE'S YOUR ANSWER_______________________

Try to separate it into different parts and try to use a

substitution as follows:

step 1 factorise x2−y2x2−y2 :

x2−y2=(x+y)(x−y)x2−y2=(x+y)(x−y)

step 2 let a=x−ya=x−y :

so

x2−y2+x−y=(x+y)(x−y)+(x−y)x2−y2+x−y=(x+y)(x−y)+(x−y)

replacing x-y to aa becomes

x2−y2+x−y=(x+y)a+ax2−y2+x−y=(x+y)a+a

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

taking back from a the x-y:

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

HOPE IT HELPS!