1.

What should be subtracted from a3-4a2+5a-6 to obtain a2-2a+1

Answer»

LET x should be subtracted,



a^3 - 4a^2 + 5a - 6 - x = a^2 - 2a + 1


=> a^3 - 4a^2 + 5a - 6 - a^2 + 2a - 1 = x



=> a^3 - 4a^2 - a^2 + 5a + 2a - 6 - 1 = x



=> a^3 - 5a^2 + 7a - 7 = x




Hence. a^3 - 5a^2 + 7a - 7 should be subtracted.



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