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Factorize: 8a^3-27 b^3-36 a^2b+54 a b^2...

Factorize: `8a^3-27 b^3-36 a^2b+54 a b^2`

Text Solution

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Given:`8a³-27b^3 - 36a²b+54ab²`
According to the equation,
`(a - b)³ = a³- b³ -3ab(a - b)`
we get,
`8a³-27b³ - 36a²b + 54ab²`
using the formula we can it write it as
= `(2a)3 - (3b)³ - 3(2a)(3b)(2a - 3b)'
= '(2a - 3b)³`.
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