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

Algebra.Com
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)   (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)

RELATED QUESTIONS

I need to simplify, can you help? (3x+9)/(x^2-x-12 *... (answered by ichudov)
x^2-5x+4/x-1 can someone please show me how to simplify this... (answered by mathispowerful,homeworkhelpanytime)
i worked this problem: (2x + 1)/3 - (3-x)/4 = (x)/6 and i got 1.67 = x which is wrong (answered by jrfrunner)
please help to simplify : (x^3 - 5x^2 - 24x / x^2 - 9) * (x^2 + 3x - 18 / x^3 - 11x^2 (answered by funmath)
please help to simplify : x^3 - 5x^2 - 24x / x^2 - 9 * x^2 + 3x - 18 / x^3 - 11x^2 +... (answered by checkley71)
Simplify by removing factors of 1 x^2-7x+12/x^2+5x-36 Can you please show me how to (answered by Fombitz)
Can you please show me step by step how to simplify this equation by removing factors of... (answered by Fombitz)
Simplify : (x^3 - 5x^2 - 24x / x^2 - 9) * (x^2 + 3x - 18 / x^3 - 11x^2 -... (answered by funmath)