SOLUTION: Can you show me how to simplify this problem? 3x+9/x^2-x-12 * x^2+5x+6/24x+48

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Question 34339: Can you show me how to simplify this problem?
3x+9/x^2-x-12 * x^2+5x+6/24x+48
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
{(3x+9)/(x^2-x-12)} * {(x^2+5x+6)/(24x+48)}
={3(X+3)/(X^2-4X+3X-12)}*{X^2+3X+2X+6)/24(X+2)}
={3(X+3)/(X(X-4)+3(X-4))}*{(X(X+3)+2(X+3))/24(X+2)}
={3(X+3)/(X+3)(X-4)}{(X+3)(X+2)/24(X+2)}
={3/(X-4)}{(X+3)/24}
=(X+3)/8(X-4)