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Question
Factorise:
`a^3 - 2sqrt(2)b^3`
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Solution
`a^3 - 2sqrt(2)b^3 = (a)^3 - (sqrt(2)b)^3`
= `(a - sqrt(2)b)[a^2 + a(sqrt(2)b) + (sqrt(2)b)^2]` ...[Using identity, a3 – b3 = (a – b)(a2 + ab + b2)]
= `(a - sqrt(2)b)(a^2 + sqrt(2)ab + 2b^2)`
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