What does (2x + y)2 equal out to

4 x^2 + 4 x y + y^2

Step-by-step explanation:

Expand the following:

(2 x + y)^2

(2 x + y) (2 x + y) = (2 x) (2 x) + (2 x) (y) + (y) (2 x) + (y) (y):

2×2 x x + 2 x y + 2 y x + y y

2 x×2 x = 2×2 x^2:

2×2 x^2 + 2 x y + 2 y x + y y

2×2 = 4:

4 x^2 + 2 x y + 2 y x + y y

y y = y^2:

4 x^2 + 2 x y + 2 y x + y^2

x y 2 + y x 2 = 4 x y:

4 x^2 + 4 x y + y^2

Ok. Based on what you said above (what LITTLE you said above) I am going to show you how to do it and then you can input the answer whatever way possible. You said that I most likely need to take all of the miles he goes in a week and then divide it to get the distance in days -> this is really simple so take a look: Monday he jogged 3 miles, Tuesday he jogged 3 miles, Wednesday he jogged 3 miles Thursday he jogged 3 miles, Friday he jogged 3 miles, Saturday he jogged 6.5 miles and finally, on Sunday he jogged 6.5 miles -> 3+3+3+3+3+6.5+6.5 = 28. Then, you divide by to total number of days jogged (7) to get the AVERAGE distance per day. The answer is 4 -> 3*5+6.5*2 = 28 -> 28/7 = 4. I hope this helps!

P.S. - If you think I did a good job I would love it if you went to my YouTube channel to see if I can help you more there. Here is the link: https://www.youtube.com/channel/UCG0zQcSsxZ2mu-OnZRdI2-Q . I hope to see you there!