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2x and x+2 cannot cancel out as they are not common factors

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THIS IS PAINFUL, you can't cross out the x's like that your supposed to factor the top and bottom part of the fraction, then simplify afterwards

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You can't simplify this way because one is a coefficient and one is a constant

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it is not simplified correctly, the 2s do not cancel out.

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DIdn't finish the factoring process

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That's not how the rule of squares is, its supposed to be (x-2)(x+2) because the four is negative and -2 squared is positive 4

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That is not how you simplify it is already in its simplest form because right now it looks like they are cross multiplying.

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Need to divide 6 by 3 too, to get 3+2x

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You can't only simplify one part, it has to be the entire whole fraction, what you do to ALL of the bottom you do to ALL of the top and vice versa

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6x also needs to be divided

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You can not simplify like that because you have to simplify both the number and the letter together not only 1 at a time.

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Couldn't you simplify it even more by dividing the 6 by 3 as well?

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x-2 squared is multiplying x-2 by x-2. That doesn't equal x^2-4.

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You cant factor out just the variable. It needs to have the same thing on both denominator and numerator to factor out.

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the 6 is also divisible by 3

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You shoulda divided everything by 3 to simplify.

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The only thing here that is squared is the x, so the 4 has no reason to be inside of those parentheses.