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Question

Factorise
8a3+27b3+36a2+54ab2

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Solution

8a3 +27b3 +36a2b + 54ab2

equals open parentheses 2 a close parentheses cubed plus open parentheses 3 b close parentheses cubed plus 3 cross times open parentheses 2 a close parentheses squared cross times 3 b plus 3 cross times open parentheses 2 a close parentheses open parentheses 3 b close parentheses squared equals open parentheses 2 a plus 3 b close parentheses cubed space space space space open square brackets because space a cubed plus b cubed plus 3 a squared b plus 3 a b squared equals open parentheses a plus b close parentheses cubed close square brackets equals open parentheses 2 a plus 3 b close parentheses open parentheses 2 a plus 3 b close parentheses open parentheses 2 a plus 3 b close parentheses


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