# How do you simplify #b/(b+3)+6/(b-2)#?

Finding the LCD involves application of LCM;

Multiply each fraction as necessary to create equivalent fractions.

Now simplify each fraction:

Now combine into one fraction:

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To simplify the expression b/(b+3) + 6/(b-2), you need to find a common denominator for the two fractions. The common denominator is (b+3)(b-2).

Next, multiply the numerator and denominator of the first fraction b/(b+3) by (b-2), and multiply the numerator and denominator of the second fraction 6/(b-2) by (b+3).

This gives you (b(b-2))/((b+3)(b-2)) + (6(b+3))/((b+3)(b-2)).

Now, combine the numerators over the common denominator: (b(b-2) + 6(b+3))/((b+3)(b-2)).

Simplify the numerator: (b^2 - 2b + 6b + 18)/((b+3)(b-2)).

Combine like terms: (b^2 + 4b + 18)/((b+3)(b-2)).

Therefore, the simplified expression is (b^2 + 4b + 18)/((b+3)(b-2)).

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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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