What must be subtracted from 2x3−4x2+6x−2 to get 3x3+2x2−5x+3 ?
Let the required expression be y.
Then,
(2x3−4x2+6x−2)−y=3x3+2x2−5x+3
⇒y=(2x3−4x2+6x−2)−(3x3+2x2−5x+3)
2x3−4x2+6x−2
3x3+2x2−5x+3
− − + −
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−x3 −6x2+11x−5