Distribution property is given by,
[tex]a\times(b+c)=a\times b+a\times c[/tex]Now, using the distributive property, the expression can be written as,
[tex]\begin{gathered} 8-\frac{1}{2}(4s-\frac{1}{2}+12s-\frac{1}{4})=8-\frac{1}{2}\times4s-\frac{1}{2}\times(-\frac{1}{2})-\frac{1}{2}\times12s-\frac{1}{2}\times(-\frac{1}{4}) \\ =8-2s+\frac{1}{4}-6s+\frac{1}{8} \\ =8-8s+\frac{1}{4}+\frac{1}{8} \\ =8-8s+\frac{12}{32} \\ =8-8s+\frac{3}{8} \end{gathered}[/tex]Therefore
