# Question 19980

Mar 9, 2016

The correct choice is choice (b), the product is $\frac{c}{a}$.

#### Explanation:

Use the factorization for a difference of squares to get the product of the numerators:

(b+\sqrt{b^2-4ac})(b-\sqrt{b^2-4ac}) =(b)^2-(b^2-4ac)=4ac#

The product of the denominator is just $\left(2 a\right) \left(2 a\right) = 4 {a}^{2}$. So we get:

$\frac{4 a c}{4 {a}^{2}} = \frac{c}{a}$