Problem
$(x+4)(x+6)(-(x-1)(x+7)$
Solution
Step 1 ：Given the expression $(x+4)(x+6)(-(x-1)(x+7)$, we need to simplify it.
Step 2 ：First, we multiply the terms together. This gives us $-(x - 1)*(x + 4)*(x + 6)*(x + 7)$.
Step 3 ：However, this expression is still in the form of a product of binomials. We need to expand it to get the final polynomial.
Step 4 ：Expanding the expression, we get $-x^4 - 16x^3 - 77x^2 - 74x + 168$.
Step 5 ：Thus, the final simplified form of the polynomial is \(\boxed{-x^4 - 16x^3 - 77x^2 - 74x + 168}\).
