Explanation:
step one:
The question is actually incomplete, but we can make do with information we have.
step two:
seeing that this is a word problem, we need to convert the statement to mathematical expression.
1. t decreased by 4 is (t-4)
2. 8 more than t (t+8)
step three:
therefore the product of t decreased by 4 and 8 more than t
= (t-4)*(t+8)
we can proceed by opening the brackets
![=t(t+8)-4(t+8)\\\\=t^2+8t-4t+32\\\\](https://img.qammunity.org/2021/formulas/mathematics/college/cg4o0hya9xnwin31drjzsndluneczctusg.png)
collecting like terms we have
![=t^2+8t-4t+32\\\\=t^2+4t+32](https://img.qammunity.org/2021/formulas/mathematics/college/874fyvtsgt5f3kq8skv96h68lhxm0181t2.png)