Which two equations are equivalent?

A
y = (x + 4)2
y = x2 + 16

B
y = (x – 3)2
y = x2 – 6x + 9

C
y = (x + 2)2
y = x2 + 2x + 2

D
y = (x – 6)2
y = x2 – 12x – 36

Question

Which two equations are equivalent? 
 




 
A    
y = (x + 4)2
y = x2 + 16 

 
 
B    
y = (x – 3)2
y = x2 – 6x + 9 

 
 
C    
y = (x + 2)2
y = x2 + 2x + 2 

 
 
D    
y = (x – 6)2
y = x2 – 12x – 36

mww · Answer

expand the perfect squares and see what you get. Remember that
$$(x+y)^2 = x^2 +2xy + y^2$$
and $$(x-y)^2 = x^2 -2xy +y^2$$

If the expanded result is the same as the one below, they are equivalent

peachpi · Answer

multiply the top equation and see if you get the second. For example in A, is (x+4)(x + 4) the same as x^2 + 16?