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 [tex] 8x^2 [/tex] which is outside the bracket.
Thus, we get:
[tex] 8x^2(5x+2x^2-3)=8\times 5x^{2+1}+8\times 2x^{2+2}-8\times 3 x^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.
