Given:
(a)
[tex]\frac{1}{2}(2x+2)[/tex]
Use distributive property is:
[tex]a(x+y)=ax+ay\ldots\ldots\ldots\ldots.(distributive\text{ property)}[/tex]
[tex]\begin{gathered} =\frac{1}{2}(2x+2) \\ =\frac{1}{2}(2x)+\frac{1}{2}(2) \\ =x+1 \end{gathered}[/tex]
(b)
[tex]2a+(3b+c)[/tex]
Use aasociative property of addition:
[tex]\begin{gathered} =a+(x+y) \\ =(a+x)+y \end{gathered}[/tex]
[tex]\begin{gathered} =2a+(3b+c) \\ =(3b+c)+2a\ldots\ldots\ldots\ldots(\text{associative property of addition)} \end{gathered}[/tex]
(c)
[tex]\frac{1}{4}\lbrack(-a+a)+4\rbrack[/tex]
[tex]\begin{gathered} \frac{1}{4}\lbrack(-a+a)+4\rbrack=\frac{1}{4}\lbrack0+4\rbrack \\ \text{Use substraction property} \end{gathered}[/tex]
