I'm having trouble with these 2 problems.
(-7+p)(8+p) & (p-7)(p+8)
what is the question....?
-7 * 8 = -56, -7p + 8p = p, and p * p = p^2
-56 + p + p^2 or p^2 + p - 56
The second problem is the same as the first, even though it is stated differently.
To simplify the expressions (-7+p)(8+p) and (p-7)(p+8), you can use the distributive property of multiplication over addition/subtraction to expand each expression. Let's break down each problem step by step:
1) (-7+p)(8+p)
To expand this expression, you need to multiply each term in the first set of parentheses by each term in the second set of parentheses.
Start by multiplying -7 with each term in the second set of parentheses: (-7)(8) + (-7)(p).
This gives you -56 - 7p.
Next, multiply p with each term in the second set of parentheses: (p)(8) + (p)(p).
This simplifies to 8p + p^2.
Finally, combine the terms to get the final result: -56 - 7p + 8p + p^2.
We can further simplify by combining like terms: p^2 + p - 56.
2) (p-7)(p+8)
Similarly, to expand this expression, you need to multiply each term in the first set of parentheses by each term in the second set of parentheses.
Multiply p with each term in the second set of parentheses: (p)(p) + (p)(8).
This simplifies to p^2 + 8p.
Similarly, multiply -7 with each term in the second set of parentheses: (-7)(p) + (-7)(8).
This results in -7p - 56.
Combine the terms to get the final result: p^2 + 8p - 7p - 56.
Again, we can further simplify by combining like terms: p^2 + p - 56.
So, after expanding and simplifying, the expressions (-7+p)(8+p) and (p-7)(p+8) both simplify to p^2 + p - 56.