The Simplest form is [tex] \frac{1}{2}[/tex]
[tex] \frac{1}{4} +4(\frac{1}{2} - \frac{3}{4})^{2}[/tex] PEMDAS
[tex] \frac{1}{4}+4(-\frac{1}{4})^{2}[/tex] Subtract inside parenthesis [tex] \frac{1}{2} - \frac{3}{4} =- \frac{1}{4}[/tex]
[tex] \frac{1}{4}+4( \frac{1}{16})[/tex] Square [tex]- \frac{1}{4}[/tex]
[tex] \frac{1}{4} + \frac{1}{4} [/tex] Multiply 4 and [tex] \frac{1}{16}[/tex]
[tex] \frac{1}{2}[/tex] Add [tex] \frac{1}{4} + \frac{1}{4} [/tex]
