factorizations the following:

(l+m)³ + (2m+3n)³ + (3n+4l)³ - 3(l+m)(2m+3n)(3n+4l)

We know that x3+y3+z3-3xyz = x+y+zx2+y2+z2-xy-yz-zxSo here, l+m3+2m+3n3+3n+4l3-3l+m2m+3n3n+4l=l+m+2m+3n+3n+4ll+m2+2m+3n2+3n+4l2-l+m2m+3n-2m+3n3n+4l-l+m3n+4l=5l+3m+6nl+m2+2m+3n2+3n+4l2-l+m2m+3n-2m+3n3n+4l-l+m3n+4lNow simplify this to get the exact result, for your own practice

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