SOLUTION: Perform indicated operations and simplify the result. Leave answer in factored form.
(3x/x-1)-(x-4/x^2-2x+1)
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-> SOLUTION: Perform indicated operations and simplify the result. Leave answer in factored form.
(3x/x-1)-(x-4/x^2-2x+1)
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Question 37451This question is from textbook Glencoe Mathemathics
: Perform indicated operations and simplify the result. Leave answer in factored form.
(3x/x-1)-(x-4/x^2-2x+1) This question is from textbook Glencoe Mathemathics
You can put this solution on YOUR website! Okay...we need to combine these fractions and then simplify...notice how the denominator in the second fraction is the first denominator squared...
(3x/x-1) - (x-4/x^2-2x+1) =
(3x/x-1) - (x-4/(x - 1)^2)
Thus we will need to multiply the first fraction by (x - 1) / (x - 1)...
(3x(x - 1)/(x - 1)^2) - (x-4/(x - 1)^2) and put it all over the same denominator:
[(3x(x - 1) - (x - 4)] / (x - 1)^2
Now expand the numerator and simplify...
[(3x(x - 1) - (x - 4)] / (x - 1)^2 =
(3x^2 - 3x - x + 4) / (x - 1)^2 =
(3x^2 - 4x + 4) / (x - 1)^2
Nothing more can be done with this one...that's the answer.
