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