Question

algebra 2
5-2b homework
multiplying radicals
5.
$\left(\sqrt{3} + \sqrt{5x}\
ight)\left(\sqrt{3} - 5\sqrt{5x}\
ight)$
6.

Explanation:

Step1: Use the FOIL method (First, Outer, Inner, Last)

First: $\sqrt{3} \times \sqrt{3} = 3$
Outer: $\sqrt{3} \times (-5\sqrt{5x}) = -5\sqrt{15x}$
Inner: $\sqrt{5x} \times \sqrt{3} = \sqrt{15x}$
Last: $\sqrt{5x} \times (-5\sqrt{5x}) = -5 \times 5x = -25x$

Step2: Combine like terms

Combine the outer and inner terms: $-5\sqrt{15x} + \sqrt{15x} = -4\sqrt{15x}$
Then combine with the first and last terms: $3 - 4\sqrt{15x} - 25x$

Answer:

$3 - 25x - 4\sqrt{15x}$