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\left(7w-v\right)\left(7w+v\right)
Rewrite 49w^{2}-v^{2} as \left(7w\right)^{2}-v^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-v+7w\right)\left(v+7w\right)
Reorder the terms.