SOLUTION: factor w^2-49z^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor w^2-49z^2      Log On


   

Question 715400: factor w^2-49z^2
Answer by Simnepi(216) About Me  (Show Source):
You can put this solution on YOUR website!
using the binomial theorem we know that %28a%2Bb%29%28a-b%29=a%5E2-b%5E2
Comparing the equations a%5E2=w%5E2 giving a=w
and b%5E2=49z%5E2 from which we deduce b=7z
This gives
w%5E2-49z%5E2=%28w%2B7z%29%28w-7z%29