(p-7)(p+8)

To simplify the expression (p-7)(p+8), you can use the distributive property of multiplication over addition.

First, multiply the first terms of each binomial:
p * p = p^2

Next, multiply the outer terms:
p * 8 = 8p

Then, multiply the inner terms:
-7 * p = -7p

Finally, multiply the last terms of each binomial:
-7 * 8 = -56

Now, combine all the terms together:
(p-7)(p+8) = p^2 + 8p - 7p - 56

Simplify the expression further by combining like terms:
p^2 + (8p - 7p) - 56 = p^2 + p - 56

So, the simplified form of (p-7)(p+8) is p^2 + p - 56.