V = x³ - 6x²y + 12xy² - 8y³
V = (x - 2y)³
= (x - 2y)(x - 2y)(x - 2y) ( expand first pair of factors )
= (x² - 4xy + 4y²)(x - 2y) ( multiply terms in first by terms in second )
= x³ - 4x²y + 4xy² - 2x²y + 8xy² - 8y³ ( collect like terms )
= x³ - 6x²y + 12xy² - 8y³
