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## Question

Simplify the sum. (w^2 + 2w – 24/ w^2 + w – 30 ) + 8/ w – 5

## Answer

The equation given in the question for simplification is(w^2 + 2w – 24/ w^2 + w – 30 ) + 8/ w – 5 Firstly let us simplify w^2 + 2w – 24 = w^2 + 6w – 4w – 24 = (w + 6)(w – 4)Secondly let us simplifyw^2 + w – 30 = w^2 + 6w – 5w – 30 = (w + 6)(w – 5)Then(w + 6)(w – 4)/(w + 6)(w – 5) + 8/(w – 5)=(w – 4)/(w – 5) + 8/(w – 5)=(w – 4 + 8)/(w – 5)= (w + 4)/(w – 5)I hope the procedure is clear enough for you to understand and this is the answer that you were looking for and the answer has actually come to your desired help.

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