How would you solve 343m^3+ 64n^3 using factoring cubics?

1 Answer
Windows
May 23, 2018

#(7m + 4n)(49m^2 - 28mn + 16n^2)#

Explanation:

Using the Factorizing method on Cubic:
#(a^3 + b^3) = (a + b)( a^2 - ab + b^2)#

Therefore,
#343m^3 + 64n^3 = ((7m)^3 + (4n^3))#
#= (7m + 4n)((7m)^2 - (7m * 4n) + (4n)^2) #
#= (7m + 4n)(49m^2 - 28mn + 16n^2)#

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