Simplify the following expression. (4x2 + 8x + 15) + (x2 - x - 27) - (x + 5)(x -

4x^2+19x-47

Step-by-step explanation:

(4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)

=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35

=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)

= 4x^2+19x-47

Hope this helps!

Step-by-step explanation:

We know that on a standard number cube, there are total 6 outcomes.

The number written on a standard number cube = 1,2,3,4,5,6

Prime numbers = 2,3,5

Now, the theoretical probability of rolling a prime number on a standard number cube will be :_

Hence, the theoretical probability of rolling a prime number on a standard number cube =