How do you evaluate #3\cdot ( - 5) - ( ( - 2) ^ { 3} - 2) ^ { 2}#?

1 Answer
Dec 15, 2016

-115

Explanation:

#3*(-5)-((-2)^3-2)^2#
#=3*(-5)-((-2*-2*-2)-2)^2#
Multiplying a negative number by negative number yields a positive product.
#=3*(-5)-((4*-2)-2)^2#
Multiplying a negative number by positive number yields a negative product.
#=-15-(-8-2)^2#
#=-15-(-10)^2#
#=-15-(-10*-10)#
#=-15-100#
#=115#