Factor
7\left(7p^{2}-q\right)\left(7p^{2}+q\right)
Evaluate
343p^{4}-7q^{2}
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7\left(49p^{4}-q^{2}\right)
Factor out 7.
\left(7p^{2}-q\right)\left(7p^{2}+q\right)
Consider 49p^{4}-q^{2}. Rewrite 49p^{4}-q^{2} as \left(7p^{2}\right)^{2}-q^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
7\left(7p^{2}-q\right)\left(7p^{2}+q\right)
Rewrite the complete factored expression.
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