evaluate the expressions using the following values (-1^2+11^2)(11^2- -7^2)

I do not dare because I bet you have typos. For example I would be surprised if -1^2 is not supposed to be (-1)^2.

I'll take a stab at it.

As written, it appears to be

(-1^2+11^2)(11^2- -7^2)
(-1+121)(121- -49)
(120)(170)
20400

If we assume the usual carelessness with parentheses, per Damon, then we have

((-1)^2+11^2)(11^2- (-7)^2)
(1+121)(121-49)
(122)(72)
8784

I can't believe you didn't try to work this out on your calculator.

Next time, show your work, and we can try to figure out what you might have meant. We're volunteers, not mind readers.

To evaluate the expression (-1^2 + 11^2)(11^2 - (-7^2)), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's break it down step-by-step:

1. Evaluate the exponents:
-1^2 = (-1) * (-1) = 1
11^2 = 11 * 11 = 121
(-7)^2 = (-7) * (-7) = 49

The expression now becomes: (1 + 121)(121 - 49)

2. Perform the addition and subtraction inside the parentheses:
1 + 121 = 122
121 - 49 = 72

Now the expression simplifies to: 122 * 72

3. Finally, compute the multiplication:
122 * 72 = 8784

Therefore, the value of the given expression when evaluated with the given values is 8784.