I need help with this factorization problem?

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How can I factorize this problem:

$1-8xy-x^2-16y^2$

I noticed that there are common terms, but how should I proceed ?

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$$1-8xy-x^2-16y^2=1-(x^2+(4y)^2+2x\cdot 4y)=1^2-(x+4y)^2=(1+x+4y)(1-x-4y)$$

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proof:

$1-(4y+x)^2=(1-4y-x)(1+4y+x)$