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I think I could still simplify 3, 4 & 5 by removing the variables but it looks cleaner like this

nope you very much need the x terms in 3, 4 and 5

I see

It just seems so enticing because the x's would cancel out (to 1?)

try and factor out x off one of the numerators or denominators (e.g. x + 3), its impossible right, so you will never get rid of x from the whole fraction

But take this example:

(x+2)/(x+7)

x and x cancel out, x/x = 1

= (1+2)/(1+7)

= 3/8

Am I misunderstanding something? It seems logical

aren’t they in simplest form already?

Someone hasn't factored quadratics

lol

i know you can do that, but, for example, (x-1)²/(x-1) isn’t the same as (x-1) because the former is undefined at x=1

Number 2 can be simplified to 3/4ab

Number 3 can be simplified to (x+3)/(x-4)

did you read my comment.

Yes and it is equal to x-1 (as long as x≠1)

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