The second option is the correct answer
[tex]16x^{4}+40x^{3} -24x^{2}[/tex]
The expression given to us is:
[tex]8x^{2} (5x+2x^{2}-3 )[/tex]
Herein, we can simplify it by opening up the bracket and multiplying each term inside the bracket by the term which is outside the bracket.
Thus, we get:
[tex]8x^{2} (5x+2x^{2}-3 )=8*5x^{2+1} +8*2x^{2+2}-8*3x^{2}[/tex]
[tex]40x^{3} +16x^{4}-24x^{2}[/tex]
Rearranging the above expression in descending order of power we get:
[tex]16x^{4}+40x^{3} -24x^{2}[/tex]
From the given options we can see this is the second option. Hence the second option is the correct answer.
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