Question

x^2-y^2+6y-9 Factorise​

Answer 1

Answer:

x^2-y^2+6y-9 [given question]

=x^2- (y^2-6y+9)

=x^2- (y^2-3y-3y+9)

=x^2- {y(y-3)-3(y-3)}

=x^2- (y-3) (y-3)

=x^2- (y-3)^2

={x+(y-3)} {x-(y-3)}

=(x+y-3) (x-y+3)