How do you combine #6/(w(w-2))+3/w#?

Answer 1

See below.

We have to find the least common factor in the denominator. Since they both have a #w# term, but the second fraction lacks the #w-2# term, we multiply the second fraction by #(w-2)/(w-2)#.
#6/(w(w-2))+3/w\cdot(w-2)/(w-2)=(6+3w-6)/(w(w-2))=(3w)/(w(w-2))=3/(w-2)#
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Answer 2

To combine the expression 6/(w(w-2)) + 3/w, we need to find a common denominator. The common denominator for these two fractions is w(w-2).

To combine the fractions, we multiply the numerator and denominator of the first fraction, 6/(w(w-2)), by w to get 6w/(w(w-2)).

Now, we can add the two fractions together: (6w + 3(w-2))/(w(w-2)).

Simplifying the numerator, we have (6w + 3w - 6)/(w(w-2)).

Combining like terms in the numerator, we get (9w - 6)/(w(w-2)).

Therefore, the combined expression is (9w - 6)/(w(w-2)).

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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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