Question 388989
(a+b)^6 = c^2(a+b)^2(b+a)^2
In equation above a,b,and c are positive integers. Which of the following must be equal to b

(a+b)^6 = c^2(a+b)^2(b+a)^2
(a+b)^6=c^2(a+b)^4
divide by (a+b)^4
(a+b)^2=c^2
Take the square root of the equation
{{{sqrt((a+b)^2)= sqrt(c^2)}}}
a+b = c
-a
b=c-a