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