Can you clarify whether (3v-1)/(1-v)(1+v) is (3v-1)(1+v) / (1-v) or (3v-1) / [(1+v)(1-v)]?
I'm having a problem with an algebraic fractions equation. It goes:
5/3(v-1) + (3v-1)/(1-v)(1+v) + 1/2(v+1)
The first thing I do is factor out the negative in the first fraction, getting:
Giving a cd of 6(1-v)(v+1). Now that that is done I multiply the numerators by the necessary factors:
Which gives me -10v -10 + 18v -6 -3v + 3
Which adds up to 5v - 13
BUT the answer is -5v + 13, and if I factor out the negative in the second equation, all the signs are reversed and the equation works out to the right answer. So I'm confused as to why things didn't work when I factored out the negative in the first fraction.
There is nothing wrong with your work or your answer.
They approached the problem differently . . . that's all.
Both answers are correct.
They factored a "minus" out of the second fraction.
The LCD is
your answer was while most probably the answer in your book is given as , Which you know are the same answers because the answer in your book changed your to ) by multiplying the numerator and denominator by .