For this case we have the following expression:
[tex]5c ^ 2-d ^ 2 + \frac {3} {2} c-4d[/tex]
We must find the value of the expression when:
[tex]c = -1\\d = -4[/tex]
Substituting we have:
[tex]5 (-1) ^ 2 - (- 4) ^ 2 + \frac {3} {2} (- 1) -4 (-4) =\\5 (1) -16- \frac {3} {2} + 16 =\\5-16- \frac {3} {2} + 16 =\\-11- \frac {3} {2} + 16 =\\- \frac {25} {2} + 16 =\\\frac {-25 + 32} {2} =\\\frac {7} {2}[/tex]
Finally, the value of the expression is:
[tex]\frac {7} {2}[/tex]
ANswer:
[tex]\frac {7} {2}[/tex]
