Question
Simplify and state the non permissble vaules
4x/x+2 + 3/x-1
4x/x+2 + 3/x-1
Answers
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Answered by
GPT 3.5
To simplify the expression, we need to find a common denominator for the two fractions involved:
The common denominator for x+2 and x-1 is (x+2)(x-1).
Now, we can rewrite the expression with the common denominator:
(4x(x-1) + 3(x+2))/(x+2)(x-1)
Simplifying the numerator:
(4x^2 - 4x + 3x + 6)/(x+2)(x-1)
Combining like terms:
(4x^2 - x + 6)/(x+2)(x-1)
There are no non-permissible values for this expression since it's defined for all real numbers.
The common denominator for x+2 and x-1 is (x+2)(x-1).
Now, we can rewrite the expression with the common denominator:
(4x(x-1) + 3(x+2))/(x+2)(x-1)
Simplifying the numerator:
(4x^2 - 4x + 3x + 6)/(x+2)(x-1)
Combining like terms:
(4x^2 - x + 6)/(x+2)(x-1)
There are no non-permissible values for this expression since it's defined for all real numbers.
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