Answer:
[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]
[tex]=6\sqrt{60} -10\sqrt{80}[/tex]
[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]
[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]
[tex]=12\sqrt{15} -40\sqrt{5}[/tex]
Hope this helps
