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## Main Question or Discussion Point

It is a case of simplifying this expression:

a^2 - ab / ab

The solution given in a textbook is:

a - b / b

I observe that for the one "a" that was canceled below, two "a's" were canceled above in this simplification.

Why would the solution not be: a^2 - b / b? I would like to know what happened to the a in a^2 if the textbook answer is the correct answer.

I am also having problems simplifying this expression: 3y^2 - 27 / 12y^2 + 36y

I have tried factorizing to find common factors that cancel each other out but have not had any success.... I know what the solution is but I would like to know how to get there.

a^2 - ab / ab

The solution given in a textbook is:

a - b / b

I observe that for the one "a" that was canceled below, two "a's" were canceled above in this simplification.

Why would the solution not be: a^2 - b / b? I would like to know what happened to the a in a^2 if the textbook answer is the correct answer.

I am also having problems simplifying this expression: 3y^2 - 27 / 12y^2 + 36y

I have tried factorizing to find common factors that cancel each other out but have not had any success.... I know what the solution is but I would like to know how to get there.

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