SOLUTION: 3x/x^2+x-2 Add. 2/x^2-4x+3 LCD is (x+2)(x-3), (x-1) cancels out??

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Question 763252: 3x/x^2+x-2 Add. 2/x^2-4x+3
LCD is (x+2)(x-3), (x-1) cancels out??
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Ax%2F%28x%5E2+%2B+x+-+2%29+%2B+2%2F%28x%5E2+-+4%2Ax+%2B+3%29
=
3%2Ax+%2F+%28%28x+%2B+2%29%2A%28x+-+1%29%29+%2B+2%2F%28%28x+-+3%29%2A%28x+-+1%29%29
=
LCD is (x+2)(x-1)(x-3)
=
%283%2Ax%5E2+-+9%2Ax+%2B+2%2Ax+%2B+4%29%2F%28%28x+%2B+2%29%2A%28x+-+1%29%2A%28x+-+3%29%29 expanding numerator
=
%283%2Ax%5E2+-+7%2Ax+%2B+4%29+%2F+%28%28x+%2B+2%29%2A%28x+-+1%29%2A%28x+-+3%29%29
=
%28%283%2Ax+-+4%29%2A%28x+-+1%29%29+%2F+%28%28x+%2B+2%29%2A%28x+-+1%29%2A%28x+-+3%29%29 factorizing numerator
=

=
%283%2Ax+-+4%29%2F%28%28x+%2B+2%29%2A%28x+-+3%29%29

:)