Literally worth 100 POINTS answer the question!!!! WILL AWARD BRAINLIEST but only if work is shown and answer is actually CORRECT. Please dont submit an answer that’s wrong because I can’t change it

Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
[tex](\frac{1}{2} )^2+2*\frac{1}{2}*\frac{1}{4}+(\frac{1}{4})^2[/tex]
[tex]\frac{1}{4}+1*\frac{1}{4}+\frac{1}{16}[/tex]
[tex]\frac{1}{4}+\frac{1}{4}+\frac{1}{16}[/tex]
[tex]\frac{2}{4}+\frac{1}{16}[/tex]
[tex]\frac{8}{16}+\frac{1}{16}[/tex]
[tex]\frac{9}{16}[/tex]
Hope this helps!