SOLUTION: Which expressions are differences of squares? x^2+25 a^2-36 n^2-50 w^2-121

Algebra ->  Expressions-with-variables -> SOLUTION: Which expressions are differences of squares? x^2+25 a^2-36 n^2-50 w^2-121      Log On


   

Question 1034570: Which expressions are differences of squares?
x^2+25
a^2-36
n^2-50
w^2-121
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+25 is not a difference of squares because it's really a sum of squares.

a^2-36 is a difference of squares. We are subtracting a^2 and 6^2 which are both squares.

n^2-50 is not a difference of squares. n^2 is a square but 50 is not since no whole number squared is equal to 50.

w^2-121 is a difference of squares. We are subtracting w^2 and 11^2 which are both squares.

-----------------------------------------------

Answer: a^2-36 and w^2-121 are differences of squares expressions. The other expressions are not differences of squares.