Respuesta :

Option B gives the correct answer.

The step by step solution is listed below:

[tex](2 x^{2} +5x+3)(4x-8) \\ \\ =4x(2 x^{2} +5x+3)-8(2 x^{2} +5x+3) \\ \\ =8 x^{3}+20 x^{2} +12x-16 x^{2} -40x-24 \\ \\ =8 x^{3}+4 x^{2} -28x-24 [/tex]
penfila11Pen
Lets get started :)

The question asks us to solve by using a table 
( 2x² + 5x + 3 )( 4x - 8 )

Our table will be:
         2x²    |   5x     |   3
4x  | 8x³     | 20x²   | 12x
- 8  | - 16x² |  - 40x  | - 24

Now add all the terms you have found and combine any like-terms
8x³ + 20x² + 12x - 16x² - 40x - 24
8x³ + 20x² - 16x² + 12x - 40x - 24

8x³ + 4x² - 28x - 24

Your answer will be [tex]\boxed {Option\ B } [/tex]

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