(p-7)(p+8)
To simplify the expression (p-7)(p+8), we can use the FOIL method:
FOIL stands for First, Outer, Inner, Last. It is a systematic way to multiply two binomials.
Here's how it works:
Step 1: Multiply the First terms of each binomial.
In this case, we multiply p from the first binomial (p-7) with p from the second binomial (p+8). So, p * p = p^2.
Step 2: Multiply the Outer terms of each binomial.
Now, we multiply p from the first binomial (p-7) with 8 from the second binomial (p+8). So, p * 8 = 8p.
Step 3: Multiply the Inner terms of each binomial.
Next, we multiply -7 from the first binomial (p-7) with p from the second binomial (p+8). So, -7 * p = -7p.
Step 4: Multiply the Last terms of each binomial.
Finally, we multiply -7 from the first binomial (p-7) with 8 from the second binomial (p+8). So, -7 * 8 = -56.
Step 5: Combine the terms obtained from the above calculations.
Now, we can add all the results together to simplify the expression:
p^2 + 8p - 7p - 56
Simplifying further, we can combine like terms:
p^2 + (8p - 7p) - 56
Simplifying the coefficients:
p^2 + (1p) - 56
The simplified expression is:
p^2 + p - 56