(-7+p)(8+p)
To simplify the expression (-7+p)(8+p), you can use the distributive property of multiplication over addition.
Start by distributing the first term, -7, to both terms inside the parentheses:
(-7)(8) + (-7)(p)
This simplifies to:
-56 - 7p
Next, distribute the second term, p, to both terms inside the parentheses:
8p + p^2
Now, we have the simplified expression:
-56 - 7p + 8p + p^2
Combine like terms:
p^2 + p - 7p - 56
Finally, simplify further by combining like terms:
p^2 - 6p - 56
Thus, the simplified expression of (-7+p)(8+p) is p^2 - 6p - 56.