SOLUTION: A student thinks that the expression (a+b)2 and a2+b2 are equal to one another. How would you explain to the student why this is not so?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A student thinks that the expression (a+b)2 and a2+b2 are equal to one another. How would you explain to the student why this is not so?      Log On


   

Question 41513This question is from textbook
: A student thinks that the expression (a+b)2 and a2+b2 are equal to one another. How would you explain to the student why this is not so? This question is from textbook

Found 2 solutions by checkley71, Nate:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
LET A=3 & B=4 THEN (A+B)2 WOULD BE (3+4)2 OR 7*2=14
3*2+4*2=6+8=14
HOWEVER IF THE 2 IS A POWER THEN (3+4)~2 OR 7~2=49 HOWEVER
3~2+4~2 IS 9+16=25

Answer by Nate(3500) About Me  (Show Source):