If x2 - y2 = 12 and x - y = 4, what is the value

of x2 + 2xy + y?

F. 3

G. 8

H. 9

J. 12

K. 16

Step-by-step explanation:

x²-y²=12

(x-y) (x+y) = 12

but x-y=4

4 (x+y) = 12

x+y=12/4

x+y=3

lets make x the subject of the formula

x=3-y

since x-y=4

(3-y) - y=4

3-y-y=4

-2y=1

y=-1/2

then x=3-y

x=3 - (-1/2)

x = (6--1) / 2

x=7/2

therefore; x²+2xy+y

= (7/2) ²+2*7/2*-1/2 + (-1/2)

=49/4-7/2-1/2

= (49-14-2) / 4

=33/4

=8.25

=8