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Answer :
The value of 3/x-1 - 4/x+3 is (13-x)/(x-1)(x+3)
What are algebraic fractions?
Algebraic fractions are fractions using a variable in the numerator or denominator, such as . Because division by 0 is impossible, variables in the denominator have certain restrictions. The denominator can never equal 0.
The numerator and denominator are called the terms of the algebraic fraction.
We simplify the expression by finding the LCM of the denominator.
therefore 3( x+3) - 4(x-1))/(x-1)(x+3)
opening the parentheses
(3x+9-4x+4)/(x-1)(x+3)
= (13-x)/(x-1)(x+3)
Therefore the value of 3/x-1 - 4/x+3 is (13-x)/(x-1)(x+3)
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