I see a lot of perfect cubes there
8x^3 - 27y^3 = (2x-3y)(4x^2+6xy+9y^2)
Hmmm. No joy there.
wolframalpha.com factors it, but I can see no motivation for trying (2x-3y+5) as a factor.
Factorize 125+8x^3+90xy-27y^3
I tried till :
5^3+(2x)^3-9y(10x+3y^2)
got stuck here as there is no commom cuming 5 and 2x n last sction.
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