Multiply. State any restrictions on the variable.

Question

x^2-5x+6/x^2-4 * x^2+3x+2/x^2-2x-3

Answer 1

To multiply the two rational expressions, we can first factor the numerators and denominators:

(x^2-5x+6)/(x^2-4) * (x^2+3x+2)/(x^2-2x-3)

(x-3)(x-2)/(x-2)(x+2) * (x+2)(x+1)/(x+1)(x-3)

Now we can cancel out the common factors in the numerator and denominator:

(x-3)/(x+2) * 1/(x+1)

The final expression is (x-3)/(x+2) * 1/(x+1).

There are no restrictions on the variable, as long as the denominators are non-zero.