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

Question

Mathematics

Patterson

21 September, 05:11

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

+5

Answers (2)

Know the Answer?

Makai Reynolds · Answer 1

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:

Answer: 4 x^2 + 4 x y + y^2