Answer:
The simplified form of the provided expression is [tex]\frac{1}{4}(4a+b)[/tex] or [tex]a+\frac{b}{4}[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]\frac{1}{2}(4a+b)-\frac{1}{4}(4a+b)[/tex]
Taking 4a+b common from the above expression.
[tex](4a+b)(\frac{1}{2}-\frac{1}{4})[/tex]
[tex](4a+b)(\frac{2-1}{4})[/tex]
[tex](4a+b)\frac{1}{4}[/tex]
[tex]\frac{1}{4}(4a+b)[/tex]
or
[tex]a+\frac{b}{4}[/tex]
Hence, the simplified form of the provided expression is [tex]\frac{1}{4}(4a+b)[/tex] or [tex]a+\frac{b}{4}[/tex].
