To simplify the expression (u+7)(u-1), we can use the distributive property.
First, multiply the first terms in each set of parentheses:
u \cdot u = u^2
Next, multiply the outer terms:
u \cdot (-1) = -u
Then, multiply the inner terms:
7 \cdot u = 7u
Finally, multiply the last terms in each set of parentheses:
7 \cdot (-1) = -7
Now, combine all the terms:
u^2 - u + 7u - 7
Simplify further by combining the like terms:
u^2 + 6u - 7
Therefore, the simplified expression is:
Answer: u^2 + 6u - 7