Working with BPDS (Basic Principle for Differences of Squares), apply the Fermat factorization method to factor 5959.

Question

asked Nov 7, 2021 110k views

2 Answers

PaulNUK · Answer 1 · 2021-11-13T21:57:50+0000

Answer: 101 and 59

Explanation:

Rewrite as a difference of 2 perfect squares

5959 = (6400-441) = (80)^2 - (21)^2

Difference of 2 perfect squares

a^2 - b^2 = (a+b) (a-b)

Factors are (80+21) and (80-21)

101 and 59