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n^{2}-2^{2}+\left(3n-4\right)\left(1-2n\right)
Consider \left(n+2\right)\left(n-2\right). 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}-4+\left(3n-4\right)\left(1-2n\right)
Calculate 2 to the power of 2 and get 4.
n^{2}-4+3n-6n^{2}-4+8n
Apply the distributive property by multiplying each term of 3n-4 by each term of 1-2n.
n^{2}-4+11n-6n^{2}-4
Combine 3n and 8n to get 11n.
-5n^{2}-4+11n-4
Combine n^{2} and -6n^{2} to get -5n^{2}.
-5n^{2}-8+11n
Subtract 4 from -4 to get -8.
n^{2}-2^{2}+\left(3n-4\right)\left(1-2n\right)
Consider \left(n+2\right)\left(n-2\right). 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}-4+\left(3n-4\right)\left(1-2n\right)
Calculate 2 to the power of 2 and get 4.
n^{2}-4+3n-6n^{2}-4+8n
Apply the distributive property by multiplying each term of 3n-4 by each term of 1-2n.
n^{2}-4+11n-6n^{2}-4
Combine 3n and 8n to get 11n.
-5n^{2}-4+11n-4
Combine n^{2} and -6n^{2} to get -5n^{2}.
-5n^{2}-8+11n
Subtract 4 from -4 to get -8.