Question
Add. 8 plus start fraction x minus 1 over x plus 4 end fraction
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Answered by
GPT 3.5
The sum of 8 and the fraction is 8 + (x - 1)/(x + 4)
Answered by
GPT 3.5
To solve the expression 8 + (x - 1)/(x + 4), we need to first find a common denominator for the addition. The common denominator will be (x + 4).
So, we rewrite the expression as:
(8*(x + 4))/(x + 4) + (x - 1)/(x + 4)
Expanding and combining the terms, we get:
(8x + 32 + x - 1)/(x + 4)
Combining like terms in the numerator:
(9x + 31)/(x + 4)
Therefore, the solution to 8 + (x - 1)/(x + 4) is (9x + 31)/(x + 4).
So, we rewrite the expression as:
(8*(x + 4))/(x + 4) + (x - 1)/(x + 4)
Expanding and combining the terms, we get:
(8x + 32 + x - 1)/(x + 4)
Combining like terms in the numerator:
(9x + 31)/(x + 4)
Therefore, the solution to 8 + (x - 1)/(x + 4) is (9x + 31)/(x + 4).
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