Question

Multiply:
(2x² − 1) by (4x³ + 5x²)

Answer 1

To multiply, we will use distributive law as follows:

$$\begin{gathered} \left(2x^2-1\right)\left(4x^3+5x^2\right) \\ =2x^2\left(4x^3+5x^2\right)-1\left(4x^3+5x^2\right) \\ =8x^5+10x^4-4x^3-5x^2 \end{gathered}$$

Thus, the answer is $8x^5+10x^4-4x^3-5x^2$.