Final answer:
To multiply (u+1)(u-6), we can use the distributive property. Distribute u to both terms inside the parentheses and combine like terms to simplify the expression to u^2 - 5u - 6.
Step-by-step explanation:
To multiply the given expression, (u+1)(u-6), we can use the distributive property. This property states that when we multiply a sum or difference by a number, we distribute the number to each term inside the parentheses. In this case, we distribute the u to both terms inside the parentheses. So, we have:
(u+1)(u-6) = u(u-6) + 1(u-6)
Now, we can apply the distributive property again:
u(u-6) + 1(u-6) = u^2 - 6u + u - 6
Combining like terms, we have:
u^2 - 5u - 6
So, the simplified form of (u+1)(u-6) is u^2 - 5u - 6.
Learn more about Multiplying expressions using the distributive property