Simplify the given expression.

​$$4\left(\frac{3}{2}x^2 - 4x +3\right) - \frac{1}{2}\left(4x^2 +8x -18\right)$$​​

Correct option is A

Given:

​$$Given \ expression = 4\left(\frac{3}{2}x^2 - 4x +3\right) - \frac{1}{2}\left(4x^2 +8x -18\right)$$​​

Solution:

​$$4\left(\frac{3}{2}x^2 - 4x +3\right) - \frac{1}{2}\left(4x^2 +8x -18\right)$$​​

= $$(6x^2 - 16x +12 - 2x^2 -4x +9)$$​​

= $$4x^2 -20x +21$$​​