I'm not certain, but I think you have to subtract 5 - (-5) = 5 + 5 = 10 for the function. Then you replace all of the x's in $${{\mathtt{x}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{x}}}^{{\mathtt{2}}}$$ + 5x with 10's. Doing that, we have $${{\mathtt{10}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{10}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{10}}\right)$$. $${{\mathtt{10}}}^{{\mathtt{4}}} = {\mathtt{10\,000}}$$, $${{\mathtt{10}}}^{{\mathtt{2}}} = {\mathtt{100}}$$, 5(10) = 50 . Then we have 10000+100+50 which can be easily added together to get the answer.
This says that we want to put 5 into the function and evaluate the result. Then, we want to put -5 into the function and evaluate that result. Then, we want to subtract the second result fom the first.
However, 5 and -5 put into the first two terms give the same result..and subtracting like results = 0....so we can ignore these
And putting 5 into the last term = 25 .....and -5 into the same term = -25
So 25 - (-25) = 25 + 25 = 50
Gotta be careful here, Mathematician...
What you are doing is evaluating -5^4 and -5^2
But.......what we should be doing is evaluating (-5)^4 and (-5)^2
See the difference???
Remember, "x" is like a box that is holding something.....the sign on "x" is outside the box....
I understand, I just made a mistake for a minute but corrected myself.