Question

Simplify.

Answer 1

For this case we must simplify the following expression:

$\frac {1} {2} -3 (\frac {1} {2} +1) ^ 2$

Then we have to start by solving the operation within the parenthesis:

$\frac {1} {2} -3 (\frac {1 + 2 * 1} {2}) ^ 2 =\\\frac {1} {2} -3 (\frac {3} {2}) ^ 2 =\\\frac {1} {2} -3 (\frac {3} {2} * \frac {3} {2}) =\\\frac {1} {2} -3 (\frac {9} {4}) =\\\frac {1} {2} - \frac {27} {4} =\\\frac {4 * 1-2 * 27} {4 * 2} =\\\frac {4-54} {8} =\\\frac {-50} {8} =\\- \frac {25} {4}$

ANsweer:

$- \frac {25} {4}$