Answer:
[tex]\frac{9}{16}[/tex] will be the answer.
Step-by-step explanation:
The given expression in the question is [tex]\frac{1}{2}+(\frac{3}{8}-\frac{1}{8})^{2}[/tex]
We will solve the parenthesis first.
[tex](\frac{3}{8}-\frac{1}{8})=\frac{(3-1)}{8}[/tex]
[tex]=\frac{2}{8}[/tex]
[tex]=\frac{1}{4}[/tex]
Now the expression becomes [tex]\frac{1}{2}+(\frac{1}{4})^{2}[/tex]
We further solve this expression
[tex]\frac{1}{2}+(\frac{1}{4})^{2}[/tex] = [tex]\frac{(8+1)}{16}[/tex]
[tex]=\frac{9}{16}[/tex]
Answer will be [tex]\frac{9}{16}[/tex]
