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10.Factorize each of the following :
i)\(27y^3 + 125z^3\)
ii)\(64m^3 + 343n^3\)
Answer :

i)\(27y^3 + 125z^3 = (3y)^3 + (5z)^3\)
\(= (3y + 5z)[((3y)^2 + (5y)^2 - (3y)(5z)]\)
\(= (3y + 5z)[(9y^2 - 15yz + 25z^2)]\)

ii)\(64m^3 + 343n^3 = (4m)^3 + (7n)^3\)
\(= (4m + 7n)[((4m)^2 + (7n)^2 - (4m)(7n)]\)
\(= (4m + 7n)[(16m^2 - 48mn + 49n^2)]\)