# How do you subtract #\frac { 4} { 2r ^ { 4} s ^ { 5} } - \frac { 5} { 9r ^ { 3} s ^ { 7} }#?

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To subtract the given fractions, we need to find a common denominator. The common denominator for the fractions (\frac{4}{2r^4s^5}) and (\frac{5}{9r^3s^7}) is (18r^4s^7).

Next, we multiply the numerator and denominator of each fraction by the appropriate factor to obtain the common denominator.

For the first fraction, we multiply the numerator and denominator by (9r^3s^2) to get (\frac{36r^3s^2}{18r^4s^7}).

For the second fraction, we multiply the numerator and denominator by (2r) to get (\frac{10r}{18r^4s^7}).

Now, we can subtract the fractions by subtracting their numerators while keeping the common denominator:

(\frac{36r^3s^2}{18r^4s^7} - \frac{10r}{18r^4s^7} = \frac{36r^3s^2 - 10r}{18r^4s^7}).

Therefore, the subtraction of (\frac{4}{2r^4s^5} - \frac{5}{9r^3s^7}) simplifies to (\frac{36r^3s^2 - 10r}{18r^4s^7}).

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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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