You can
put this solution on YOUR website! Multiply
2x² - x - 3 3x² - 11x - 20
——————————————— × ————————————————
3x² + 7x + 4 4x² - 9
Factor both numerators and both
denominators:
(x + 1)(2x - 3) (x - 5)(3x + 4)
————————————————— × ———————————————————
(x + 1)(3x + 4) (2x - 3)(2x + 3)
Indicate the multiplication of the
numerators and denominators all as one
fraction:
(x + 1)(2x - 3)(x - 5)(3x + 4)
—————————————————————————————————
(x + 1)(3x + 4)(2x - 3)(2x + 3)
Cancel the (x + 1)'s, the (2x - 3)'s,
and the (3x + 4)'s
1 1 1
(x + 1)(2x - 3)(x - 5)(3x + 4)
—————————————————————————————————
(x + 1)(3x + 4)(2x - 3)(2x + 3)
1 1 1
So we end up with
x - 5
————————
2x + 3
Edwin
AnlytcPhil@aol.com