Question

r square + a square- 2rs =​

Answer 1

Step-by-step explanation:

Step by Step Solution:



Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "s2"   was replaced by   "s^2".  1 more similar replacement(s).

STEP1:Trying to factor a multi variable polynomial

 1.1    Factoring    r2 - 2rs + s2 

Try to factor this multi-variable trinomial using trial and error 

 Found a factorization  :  (r - s)•(r - s)

Detecting a perfect square :

 1.2    r2  -2rs  +s2  is a perfect square 

 It factors into  (r-s)•(r-s)

which is another way of writing  (r-s)2

How to recognize a perfect square trinomial:  

 • It has three terms  

 • Two of its terms are perfect squares themselves  

 • The remaining term is twice the product of the square roots of the other two terms

Final result :

(r - s)2