Factorise 216xcube-125ycube
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216x³-115y³
using the identity
x³-y³=(x+y)(x²+y²-xy)
(6x)³-(5y)³
=(6x+5y)[(6x)²+(5y)²-(6x×5y)]
=6x+5y[36x²+25y²-30xy]
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