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\left(\sqrt{7}\right)^{2}-7\sqrt{7}+9\sqrt{7}-63
Apply the distributive property by multiplying each term of \sqrt{7}+9 by each term of \sqrt{7}-7.
7-7\sqrt{7}+9\sqrt{7}-63
The square of \sqrt{7} is 7.
7+2\sqrt{7}-63
Combine -7\sqrt{7} and 9\sqrt{7} to get 2\sqrt{7}.
-56+2\sqrt{7}
Subtract 63 from 7 to get -56.