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18 votes
18 votes
Write your answer in descending powers of a (a^3 - 2a + 5) - (4a^3 - 5a^2 + a - 2)

User Adithi
by
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1 Answer

25 votes
25 votes

Solution:

Given the expression below


\left(a^3-2a+5\right)-\left(4a^3-5a^2+\:a-2\right)

Evaluating the expression gives


\begin{gathered} =a^3-2a+5-4a^3+5a^2-a+2 \\ Collect\text{ like terms} \\ =a^3-4a^3+5a^2-2a-a+5+2 \\ =-3a^3+5a^2-3a+7 \end{gathered}

Hence, the answer is


\begin{equation*} -3a^3+5a^2-3a+7 \end{equation*}

User Airfang
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