Math help please? Not sure I am getting this. ?

Question

y^2-6y+9 /////// y^2-9

________ //divide /// ________

-(y^2-4) /////// y^2-8y+12

Answer 1

I cannot understand. there is a lot of decoration there. The main problem cannot be understood! Well use the following if you can!

y^-6y+9 = (y-3)^2

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

y^2 - 4 = (y-2)(y+2),

y^ - 8y +12 = (y-6)(y-2)

(a/b)/(c/d) = ad/bc.

Answer 2

(y^2 - 6y + 9)/-(y^2 - 4) ÷ (y^2 - 9)/(y^2 - 8y + 12)

= (y^2 - 3y - 3y + 9)/-(y^2 + 2y - 2y - 4) * (y^2 - 2y - 6y + 12)/(y^2 + 3y - 3y - 9)

= (y - 3)(y - 3)/-(y + 2)(y - 2) * (y - 2)(y - 6)/(y + 3)(y - 3) (cancel out y - 3 , y - 2)

= (y - 3)/-(y + 2) * (y - 6)/(y + 3)

= (y - 3)(y - 6)/-(y + 2)(y + 3)

Answer 3

your question is not clear

Factorise all terms

and get the answer

for eg  factor of y^2-6y+9 = (y - 3)(y - 3)

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

                        y^2 -4  = (y+2)(y-2)

                         y^2 - 8y +12  = (y-2)(y-6)