Select the correct answer.
Which expression is equivalent to (x + 3)/(x^2 - 2x - 3) divided by (x^2 + 2x - 3)/(x + 1) if no denominator equals zero?
+128475 (x + 3) / ( x^2 - 2x - 3) ÷ (x^2 + 2x -3) / (x + 1)
Easiest to factor, first
(x + 3) / [ ( x - 3) ( x + 1)] ÷ [ ( x + 3) ( x - 1) ]/ ( x + 1) invert the second expression and multiply
(x +3) /[ (x -3) ( x + 1) ] * ( x + 1) /[ ( x + 3) ( x - 1) ] and we can write
(x + 3) ( x + 1)
________________________ =
(x - 3) ( x + 1) (x + 3) ( x - 1)
1 1
__________________ = ________________
(x - 3) ( x - 1) x^2 - 4x + 3
