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\left(2m\right)^{2}-1-4m^{2}
Consider \left(2m-1\right)\left(2m+1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.
2^{2}m^{2}-1-4m^{2}
Expand \left(2m\right)^{2}.
4m^{2}-1-4m^{2}
Calculate 2 to the power of 2 and get 4.
-1
Combine 4m^{2} and -4m^{2} to get 0.
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