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Question
Multiply:
(2x2 − 1) by (4x3 + 5x2)
Solution
To multiply, we will use distributive law as follows:
\[\left( 2 x^2 - 1 \right)\left( 4 x^3 + 5 x^2 \right)\]
\[ = 2 x^2 \left( 4 x^3 + 5 x^2 \right) - 1\left( 4 x^3 + 5 x^2 \right)\]
\[ = 8 x^5 + 10 x^4 - 4 x^3 - 5 x^2\]
Thus, the answer is \[8 x^5 + 10 x^4 - 4 x^3 - 5 x^2\].
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