[tex]c) \\ \\ ( \sqrt{3} + 1) ^{2} - 2( \sqrt{3} + 5) = \\ \\ 3 + 2 \sqrt{3} + 1 - 2 \sqrt{3} - 10 = \\ \\ 3 + 1 - 10 = \\ \\ - 6 [/tex]
[tex]d) \\ \\ ( \sqrt{7} - 5)( \sqrt{7} + 1) - ( \sqrt{7} - 2) ^{2} = \\ \\ \sqrt{7} - 5 \sqrt{7} - 5 - (7 - 4 \sqrt{7} + 4) = \\ \\ \sqrt{7} - 5 \sqrt{7} - 5 - (11 - 4 \sqrt{7}) = \\ \\ \sqrt{7} - 5 \sqrt{7} - 5 - 11 + 4 \sqrt{7} = \\ \\ 0 - 5 - 11 = \\ \\ 0 - 16 = \\ \\ - 16 [/tex]
