SOLUTION: (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. c-a b.a-c c. c^2-a^2 d. (a-c)^2 e. (c-a)^2

Algebra ->  College  -> Linear Algebra -> SOLUTION: (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. c-a b.a-c c. c^2-a^2 d. (a-c)^2 e. (c-a)^2      Log On


   



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. c-a
b.a-c
c. c^2-a^2
d. (a-c)^2
e. (c-a)^2

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(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%28%28a%2Bb%29%5E2%29=+sqrt%28c%5E2%29
a+b = c
-a
b=c-a