N is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

step-by-step explanation: 2