Choose the correct simplification of the expression −3x2(5x − 4x2 − 6).

-3x^2(5x - 4x^2 - 6)
-15x^3 + 12x^4 + 18x^2 <==

(12 -15x³ + 18x²)

Step-by-step explanation:

We have to simplify the given expression -3x² (5x - 4x² - 6) By distributive property.

-3x² (5x - 4x² - 6) = (-3x²) (5x) - (-3x²) (4x²) -6 (-3x²)

= -15x³ + 12 + 18x²

= (12 -15x³ + 18x²)

Therefore, simplified form of the given expression is (12 -15x³ + 18x²)

Expected value is the sum of all probable outcomes.

If an odd is rolled it is added or positive so:

(1/6)*1+(1/6)*3+(1/6)*5  which is just:

(9/6)

Similarly if an even is rolled it is negative so:

(1/6)*-2+(1/6)*-4+(1/6)*-6 which is just:

-12/6

So the expected value is 9/6-11/6=-3/6

So the expected value for any given roll is -0.5