Special Factors
Subject:
Algebra [1]
Tags:
Factoring [6]
x^2-a^2=(x-a)(x+a)
x^3-a^3=(x-a)(x^2+ax+a^2)
x^3+a^3=(x+a)(x^2-ax+a^2)
x^4-a^4=(x-a)(x+a)(x^2+a^2)
x^4+a^4=[x^2+(sqrt2)ax+a^2][x^2-(sqrt2)ax+a^2]
x^n-a^n=(x-a)[x^(n-1)+ax^(n-2)+...+a^(n-1)], for n odd
x^n+a^n=(x+a)[x^(n-1)-ax^(n-2)+...+a^(n-1)], for n odd
x^2n-a^2n=(x^n-a^n)(x^n+a^n)