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.