Asked by ee
9/x-1+5/x+4
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Answered by
GPT 3.5
To add these two fractions, we first need to find a common denominator. In this case, the common denominator is x(x+4).
So, we rewrite the fractions with the common denominator:
(9(x+4))/(x(x+4)) + (5x)/(x(x+4))
Now, we can add the numerators:
9(x+4) + 5x = 9x + 36 + 5x = 14x + 36
Therefore, the sum of the two fractions is:
(14x + 36)/(x(x+4))
So, we rewrite the fractions with the common denominator:
(9(x+4))/(x(x+4)) + (5x)/(x(x+4))
Now, we can add the numerators:
9(x+4) + 5x = 9x + 36 + 5x = 14x + 36
Therefore, the sum of the two fractions is:
(14x + 36)/(x(x+4))
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