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Multiplication can be transformed into difference of squares using the rule: .
Expand .
Calculate to the power of and get .
The square of is .
Multiply and to get .
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n^{2}-\left(2\sqrt{2}\right)^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
n^{2}-2^{2}\left(\sqrt{2}\right)^{2}
Expand \left(2\sqrt{2}\right)^{2}\approx 8.
n^{2}-4\left(\sqrt{2}\right)^{2}
Calculate 2 to the power of 2 and get 4.
n^{2}-4\times 2
The square of \sqrt{2}\approx 1.414213562 is 2.
n^{2}-8
Multiply 4 and 2 to get 8.
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