(20pts)prove that the difference of the squares of two consecutive integers is equal to the sum of the integers, whenever the larger of the two integers comes first

see below (I hope this helps!)

Step-by-step explanation:

If the two numbers are x and x + 1, then:

(x + 1)² - x²

= x² + 2x + 1 - x²

= 2x + 1

= x + (x + 1)

1/2*qr*rs

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12