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