Step-by-step explanation:
you just have to put the given values in place of the variable names and then simply calculate.
(-2² + 2²) - 2(-2² - 2²) = (4 + 4) - 2(4 - 4) = 8 - 2×0 = 8
so, B is the right answer.
please remember the correct sequence of operations :
first are brackets.
then exponents.
then multiplications and divisions.
and then (at last) additions and subtractions.
and also please remember : multiplying a negative number with a negative number creates a positive result.
that is of course also true for squaring a negative number, as ² just means that the negative number is multiplied with itself.
now you also know the result of -2³, right ?
as this means -2 is multiplied 3 times by itself. what does that do to the sign ?
-2 × -2 = 4 (positive).
but now we have to multiply a third time
4 × -2 = -8 (because multiplying a positive number with a negative number creates a negative result).
