Evaluate the following expression if `a=8`, `b=16`, `c=-4`.
`a^{2}+2bc+3`
To evaluate the expression `a^{2}+2bc+3` with `a=8`, `b=16`, and `c=-4`, we substitute the values into the expression:
`8^{2} + 2(16)(-4) + 3`
First, we simplify the exponent:
64 + 2(16)(-4) + 3
Next, we simplify the multiplication:
64 + 2(-64) + 3
Now, we perform the multiplication:
64 - 128 + 3
Finally, we add and subtract:
-64 + 67
The expression evaluates to 3.