\(\left(2x^2-1\right)\left(x^3+3x-\dfrac{1}{2}\right)\)
\(=2x^2\left(x^3+3x-\dfrac{1}{2}\right)-1\left(x^3+3x-\dfrac{1}{2}\right)\)
\(=2x^5+6x^3-x^2-x^3+3x-\dfrac{1}{2}\)
\(=2x^5+5x^3-x^2+3x-\dfrac{1}{2}\)
(2x2-1).(x3+3x-1/2)
=2x5 + 6x3- x2- x3- 3x + 1/2
\(\left(2x^2-1\right).\left(x^3+3x-\dfrac{1}{2}\right)\)
= \(2x^5+6x^3-x^2-x^3-3x+\dfrac{1}{2}\)