factorise x^2-y^2-x-y
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Step-by-step explanation:
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)
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