Factorizing Formulas Basic Algebra

Factorizing formulas are given below.

  p, q are Real numbers

p²-q²      = (p+q)(p-q)

p³+q³   =(p-q)( p²-pq+q²)

p³-q³    =(p+q) (p²+pq+q²)              

p4-q4    =(p+q) (p-q) ( p²+q²)

p5-q5    =(p-q) (p4+p3q+p2q2+pq3+q4)

p5+q5   =(p-q) (p4-p3q+p2q2-pq3+q4)

if n is natural number:

      pn-qn      =(p-q) (pn-1+pn-2q+pn-3q2+………………….qn-1)