Simplify the given expression.

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

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Correct option is A

Given: 

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

Solution:

Break in two terms

​$$2(2x - 3) = 4x - 6$$     

Second term;

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

$$4\left(\frac{x^2}{2} - 3x + 4\right) \\ \ \\ = 4 \times \frac{x^2}{2} - 4 \times 3x + 4 \times 4$$

$$= 2x^2 - 12x + 16$$ 

Now,   Combining terms;

​$$(4x - 6) + (2x^2 - 12x + 16)$$

​$$= 2x^2 + 4x - 12x - 6 + 16$$

​$$= 2x^2 - 8x + 10$$​​