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Mathematics 24 Online
OpenStudy (anonymous):

(8√3-5)(8√3-5) ?

OpenStudy (anonymous):

We know: \[ (a-b)^2=(a-b)(a-b)=a^2-2ab+b^2 \]Which means that, by multiplying out, or using the formula: \[ (8\sqrt{3})^2-2(8\sqrt{3})(5)+5^2=192-80\sqrt{3}+25=217-80\sqrt{3} \]And we are done.

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