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4a^{2}-\left(x^{2}-4x+4\right)
Rewrite as difference of two terms.
\left(2a\right)^{2}-\left(2-x\right)^{2}
Rewrite the terms as squares.
\left(2a-2+x\right)\left(2a+2-x\right)
The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).