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Question
By how much is 3x3 – 2x2y + xy2 -y3 less than 4x3 – 3x2y – 7xy2 +2y3
Solution
We can get the required results by substracting
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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