How do you simplify #(5x^3z - 5x^2yz)/(5x^2z)# and what are the restrictions?

Answer 1
For the expression #(5x^3z-5x^2yz)/(5x^2z)# to be valid neither #x# not #z# (nor both) can be equal to zero.
#(5x^3z-5x^2yz)/(5x^2z)#
#((5x^2z)(x) - (5x^2z)(y))/(5x^2z)#
#(cancel((5x^2z))(x-y))/cancel(5x^2z)#
#=x-y#
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Answer 2

To simplify (5x^3z - 5x^2yz)/(5x^2z), we can cancel out the common factors in the numerator and denominator.

The common factor is 5x^2z.

By canceling out this common factor, we get (5x^3z - 5x^2yz)/(5x^2z) = (x - y).

The restrictions for this expression are that x cannot be equal to zero, as division by zero is undefined.

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Answer from HIX Tutor

When evaluating a one-sided 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 one-sided 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 one-sided 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 one-sided 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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