Answer:
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]
Step-by-step explanation:
Given
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)[/tex]
Required
Simplify
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2).[/tex]
Expand brackets
[tex]2\sqrt{5}(3\sqrt{5}+2). - 4(3\sqrt{5}+2).[/tex]
Open each bracket
[tex]2\sqrt{5}*3\sqrt{5}+2\sqrt{5}*2 - 4*3\sqrt{5}-4*2[/tex]
[tex]6 * 5 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]
[tex]30 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]
Collect Like Terms
[tex]- 8+30 + 4\sqrt{5} - 12\sqrt{5}[/tex]
[tex]22 - 8\sqrt{5}[/tex]
Hence:
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]
