(x^2 − 9) / (3y) / (x^2 + 6x + 9) / (9y)
= (9y) (x^2 − 9) / (3y) (x^2 + 6x + 9)
= 3 (x + 3)(x - 3) / (x + 3)^2
= 3(x - 3) / (x + 3)
set it up line over line on a clean piece of lined paper. Factor all parts as you appropriately "flip" it. cancel like parts and reduce. I have faith in you.
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(x^2 − 9) / (3y) / (x^2 + 6x + 9) / (9y)
= (9y) (x^2 − 9) / (3y) (x^2 + 6x + 9)
= 3 (x + 3)(x - 3) / (x + 3)^2
= 3(x - 3) / (x + 3)
set it up line over line on a clean piece of lined paper. Factor all parts as you appropriately "flip" it. cancel like parts and reduce. I have faith in you.