SOLUTION: x^2-18x+81-y^2

Algebra ->  Equations -> SOLUTION: x^2-18x+81-y^2      Log On


   

Question 600203: x^2-18x+81-y^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
It looks like you want to factor here.

x^2-18x+81-y^2

(x^2-18x+81)-y^2

(x^2-9x-9x+81)-y^2

((x^2-9x)+(-9x+81))-y^2

(x(x-9)-(x-9))-y^2

(x-9)(x-9)-y^2

(x-9)^2-y^2

[(x-9)-y][(x-9)+y]

(x-9-y)(x-9+y)


So x^2-18x+81-y^2 completely factors to (x-9-y)(x-9+y)