SOLUTION: Factor: Factor the product of polynomial. 8m^4n-18m^2n Please show me step by steps to get the answer. Thanks

Question 463871: Factor: Factor the product of polynomial.
8m^4n-18m^2n
Please show me step by steps to get the answer. Thanks
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Factor: Factor the product of polynomial.
8m^4n-18m^2n
...
8m^4n-18m^2n
factor out the lowest common factor of 8 and 18 which is 2
and factor out m with the smaller exponent which is m^2n
2m^2n(4m^2n-9) At this point check to see that it distributes back to the original equation
not finished yet
4m^2n-9 is a difference of two squares
continuing,
2m^2n(2m^n+3)(2m^n-3)
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