SOLUTION: please help me simplify the following expression:
a+1/(a^2-2a-3)- a+1/(a^2+4a+3)
i have tried to factorise the denominators to find common factors but cannot come up with the
Question 619372: please help me simplify the following expression:
a+1/(a^2-2a-3)- a+1/(a^2+4a+3)
i have tried to factorise the denominators to find common factors but cannot come up with the answer in my book: 6/(a-3)(a+3). Also, tried to put the expression into the automatic calculator on here but it came out with a different answer. Help! Thanks, Ade Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! a+1/(a^2-2a-3)- a+1/(a^2+4a+3)
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= a+1/(a-3)*(a+1) - a+1/(a+1)*(a+3)
= 1/(a-3) - 1/(a+3)
= ((a+3) - (a-3))/(a^2 - 9)
= 6/(a^2 - 9)
