Answer:
First option: [tex]-10d^4+17d^2s-6s^2[/tex]
Step-by-step explanation:
[tex]\left(-2d^2+s\right)\left(5d^2-6s\right)[/tex]
Use FOIL method to expand: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]\left(-2d^2\right)\times 5d^2+\left(-2d^2\right)\left(-6s\right)+s\times 5d^2+s\left(-6s\right)[/tex]
[tex]-2\times5d^2d^2+2\times 6d^2s+5d^2s-6s^2[/tex]
[tex]-10d^4+12d^2s+5d^2s-6s^2[/tex]
[tex]-10d^4+17d^2s-6s^2[/tex]
