# How do you subtract #\frac{2x}{x^2+10x+25}-\frac{3x}{2x^2+7x-15}#?

Distribute the terms:

You could've also done this without factoring, but it would've been way harder. Factoring always makes your life easier!

I really hope this helped.

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To subtract the given expressions, we need to find a common denominator. The denominators are (x^2+10x+25) and (2x^2+7x-15). The common denominator is the product of these two denominators, which is (x^2+10x+25)(2x^2+7x-15).

Next, we multiply each fraction by the appropriate factor to obtain the common denominator. For the first fraction, we multiply the numerator and denominator by (2x^2+7x-15). For the second fraction, we multiply the numerator and denominator by (x^2+10x+25).

After multiplying, we can combine the numerators over the common denominator. Simplify the resulting expression if necessary.

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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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