factorise x^2-y^2-x-y
Answers
Answered by
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!
Similar questions