How do you simplify #(2x^212x)/(x^27x+6)div(2x)/(3x3)#?
The expression simplifies to
Turn into a multiplication and factor.
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To simplify the expression (2x^212x)/(x^27x+6) divided by (2x)/(3x3), we can follow these steps:

Factorize the numerator and denominator of the first fraction: (2x^212x) can be factored as 2x(x6) (x^27x+6) can be factored as (x6)(x1)

Factorize the numerator of the second fraction: (2x) cannot be factored further.

Factorize the denominator of the second fraction: (3x3) can be factored as 3(x1)

Rewrite the expression with the factored forms: (2x(x6))/((x6)(x1)) divided by (2x)/(3(x1))

Invert the second fraction and multiply: (2x(x6))/((x6)(x1)) multiplied by (3(x1))/(2x)

Simplify by canceling out common factors: (x6) cancels out in the numerator and denominator, as well as the (2x) terms.

The simplified expression is: 3(x1)/x
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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