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

Algebra.Com
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)   (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.

RELATED QUESTIONS

Which expressions are differences of squares? 8b^2-16c^6 16e^8-81g^4 49x^25-4y^16... (answered by josgarithmetic)
which is the asymptotes of y^2/121-x^2/36=1... (answered by lwsshak3)
(x + 2)^2 =... (answered by jim_thompson5910)
A student states that polynomials are closed under division. Which of the following... (answered by Theo)
x^2+6x+9-y^2 it asks me: factoring harder differences of two... (answered by solver91311)
Factoring sums and differences of perfect squares... (answered by ikleyn)
x^2=-121 (answered by checkley71)
(x-5)^2=121 (answered by checkley77)
factor : x^2 -... (answered by ikleyn)