Question

Find an equivalent expression for the expression below using the distributive property.8 - 1/2 (4s - 1/2 + 12s - 1/4)

Answer 1

Distribution property is given by,

`a*(b+c)=a* b+a* c`

Now, using the distributive property, the expression can be written as,

`\begin{gathered} 8-(1)/(2)(4s-(1)/(2)+12s-(1)/(4))=8-(1)/(2)*4s-(1)/(2)*(-(1)/(2))-(1)/(2)*12s-(1)/(2)*(-(1)/(4)) \\ =8-2s+(1)/(4)-6s+(1)/(8) \\ =8-8s+(1)/(4)+(1)/(8) \\ =8-8s+(12)/(32) \\ =8-8s+(3)/(8) \end{gathered}`

Therefore