109k views
3 votes
How do I simplify ((3x^2+12x+12)/(2x^2+x-6))/((4x^2-9)/(3x^3+x^2-10))

User Morad
by
6.9k points

1 Answer

3 votes

( (3x^2+12x+12)/(2x^2+x-6) )/( (4x^2-9 )/(3x^3+x^2-10) ) =


= (3(x + 2)^2)/((2x - 3)(x + 2)) * \frac {3x^3+x^2-10} {(2x + 3)(2x - 3)} }


= (3(x + 2))/(2x - 3) * \frac {3x^3+x^2-10} {(2x + 3)(2x - 3)} }


= (3(x + 2)(3x^3+x^2-10) )/((2x - 3)^2(2x + 3))




User ZdaR
by
7.2k points