16. By how much is 3x3 - 2xy + xy - y less than 4x - 3x2y - 7xy2 + 2y3 ?
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Step-by-step explanation:
3x3 – 2x2y + xy2 – y3 from 4x3 – 3x2y – 7xy2 + 2y3
= (4x3 – 3x2y – 7xy2 + 2y3) – (3x3 – 2x2y + xy2 – y3)
= 4x3 – 3x2y – 7xy2 + 2y3 – 3x3 + 2x2y – xy2 + y3
= 4x3 – 3x3 – 3x2y + 2x2y – 7xy2 – xy2 + 2y3 + y3
= x3 – x2y – 8xy2 + 3y3
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