Answer:
[tex]- \frac{25}{4}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} -3 (\frac{1}{2} + 1)[/tex]²
Calculate sum
[tex]\frac{1}{2} -3x (\frac{3}{2})[/tex]²
To raise a fraction to a power raise numerator and denominator to that power
[tex]\frac{1}{2}[/tex] -3 x [tex]\frac{9}{4}[/tex]
Calculate product
[tex]\frac{1}{2}[/tex] - [tex]\frac{27}{4}[/tex]
Subtract fractions
-[tex]\frac{25}{4}[/tex]