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Question
Multiply:
(a − 1) by (0.1a2 + 3)
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Solution
To multiply, we will use distributive law as follows:
\[\left( a - 1 \right)\left( 0 . 1 a^2 + 3 \right)\]
\[ = 0 . 1 a^2 \left( a - 1 \right) + 3\left( a - 1 \right)\]
\[ = 0 . 1 a^3 - 0 . 1 a^2 + 3a - 3\]
Thus, the answer is \[0 . 1 a^3 - 0 . 1 a^2 + 3a - 3\].
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