what must be subtracted a3-4a2+5a-6 to obtain a2-2a+1
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Subtracting a3-4a2+5a-6 from a2-2a+1 gives us -a3+2a-4.
To obtain a2-2a+1 from a3-4a2+5a-6, we need to subtract (a3-4a2+5a-6) from (a2-2a+1).
To do this, we can first reverse the order of the terms in (a3-4a2+5a-6) to match the order of terms in (a2-2a+1), as follows:
a3-4a2+5a-6 = a3 + 0a2 - 4a + 5 - 6
Next, we can add the opposite of each term in (a3-4a2+5a-6) to the corresponding term in (a2-2a+1), as follows:
(a2-2a+1) - (a3-4a2+5a-6) = a2-2a+1 - (a3 + 0a2 - 4a + 5 - 6)
= a2-2a+1 - a3 - 0a2 + 4a - 5 + 6
= -a3 + 2a - 4
Therefore, subtracting a3-4a2+5a-6 from a2-2a+1 gives us -a3+2a-4.
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