1.

Expand : (i) `(4a-5b)^(3) " " (ii) (a+2b)^(3)`

Answer» `(i) (4a-5b)^(3)=(4a)^(3)-(5b)^(3)-3xx4axx5b(4a-5b)`
`=64a^(3)-125b^(3)-60ab(4a-5b)=64a^(3)-125b^(3)-240a^(2)b+300ab^(2)`
`(ii) (a+2b)^(3)=(a)^(3)+(2b)^(3)+3xxaxx2b(a+2b)`
`=a^(3)+8b^(3)+6ab(a+2b)=a^(3)+8b^(3)+6a^(2)b+12ab^(2)`


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