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Verified Answer :

(a^3 - 2a + 5) - (4a^3 - 5a^2 + a - 2)
=a^3 - 2a + 5 - 4a^3 + 5a^2 - a + 2
= -3a^3 + 5a^2 - 3a + 7

Answer:

The simplified form is

\(-3a^3+5a^2-3a+7\)          

Step-by-step explanation:

Given the expression

\((a^3-2a+5)-(4a^3-5a^2+a-2)\)

we have to simplify the above expression.

\((a^3-2a+5)-(4a^3-5a^2+a-2)\)

Step 1: Opening the brackets

\(a^3-2a+5-4a^3+5a^2-a+2\)

Step 2: Combining like terms

\((a^3-4a^3)+5a^2-(2a+a)+(5+2)\)

\(-3a^3+5a^2-3a+7\)

which is required simplified form