Answer:
[tex]87 - 18 \sqrt{6} [/tex]
Step-by-step explanation:
We want to expand:
[tex]( \sqrt{6} - 9)^{2} [/tex]
We expand to get:
[tex]( \sqrt{6} - 9)( \sqrt{6} - 9)[/tex]
[tex]\sqrt{6} ( \sqrt{6} - 9) - 9( \sqrt{6} - 9)[/tex]
We expand using the distributive property to get:
[tex]6 - 9 \sqrt{6} - 9 \sqrt{6} + 81[/tex]
[tex]6 - 18 \sqrt{6} + 81[/tex]
Finally simplify to get:
[tex]87- 18 \sqrt{6} [/tex]
