what must be added to 3n3-2n2+5n+1so that the sum be n3- 2n 2 +4n-1
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let x is to be added
so, According to question
(3n³ - 2n² + 5n + 1) + x = n³ - 2n² +4n -1
=> x = n³ -2n² +4n -1 -(3n³ -2n² +5n+1)
=> x= n³ - 2n² +4n-1 - 3n³ + 2n² -5n - 1
=> x = -2n³ -n -2
hence, -2n³ - n- 2 must be added.
so, According to question
(3n³ - 2n² + 5n + 1) + x = n³ - 2n² +4n -1
=> x = n³ -2n² +4n -1 -(3n³ -2n² +5n+1)
=> x= n³ - 2n² +4n-1 - 3n³ + 2n² -5n - 1
=> x = -2n³ -n -2
hence, -2n³ - n- 2 must be added.
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