Answer
$(7m^4+3n)(7m^4-3n)$
Work Step by Step
Step 1. Rewrite the expression as $49m^8-9n^2=(7m^4)^2-(3n)^2$
Step 2. Use the formula $A^2-B^2=(A+B)(A-B)$, we have $49m^8-9n^2=(7m^4)^2-(3n)^2=(7m^4+3n)(7m^4-3n)$
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