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Question
Factorize the following expressions:
`x^3/216 - 8y^3`
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Solution
`= (x/6)^3 - (2y)^3`
`= (x/6 - 2y)((x/6)^2 + x/6 xx 2y + (2y)^2) [∵ a^3 - b^3 = (a - b)(a^2 + ab + b^2)]`
`= (x/6 - 2y)(x^2/36 + (xy)/3 + 4y^2)`
`∴ x^3/216 - 8y^3 = (x/6 - 2y)(x^2/36 + (xy)/3 + 4y^2)`
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