2. What should be subtracted from 2x3 -3x2y +3y3 to get x3 -2x2y +4y3?
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Answer:
( 2x³ - 3x²y + 3y³ ) - (A) = x³ - 2x²y + 4y³
Step-by-step explanation:
i.e. 2x³ - 3x²y + 3y³ - ( x³ - 2x²y + 4y³ ) = A
=> 2x³ - 3x²y + 3y³ - x³ + 2x²y - 4y³ = A
Rearranging
=> 2x³ - x³ - 3x²y + 2x²y + 3y³ - 4y³ = A
=> x³ - x²y - y³ = A
i.e. x³ - x²y - y³ should be subtracted from 2x³ - 3x²y + 3y³ to get x³ - 2x²y + 4y³
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