1/2-3(1/2 +1 )^2 (^2 Is to the power of two btw) Simplify as a simplified fraction please 20 points

1 answer
Question:

1/2-3(1/2 +1 )^2
(^2 Is to the power of two btw)
Simplify as a simplified fraction please 20 points

Answers

[tex] \bf \cfrac{1}{2}-3\left( \cfrac{1}{2}+1 \right)^2\implies \stackrel{\mathbb{PEMDAS}}{\cfrac{1}{2}-3\left( \cfrac{1+2}{2} \right)^2}\implies \cfrac{1}{2}-3\left( \cfrac{3}{2} \right)^2\\\\\\\cfrac{1}{2}-3\left( \cfrac{3^2}{2^2} \right)\implies \cfrac{1}{2}-3\cdot \cfrac{9}{4}\implies \cfrac{1}{2}-\cfrac{27}{4}\implies \stackrel{\textit{LCD of 4}}{\cfrac{2-27}{4}}\\\\\\-\cfrac{25}{4}\implies -6\frac{1}{4} [/tex]

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