Question

How do I factor 25n^2 - 16?

Answer 1

Answer:

(5n + 4)(5n - 4)

Step-by-step explanation:

This is the difference of perfect squares.  It follows a pattern of

(ax + b)(ax - b) where a is the square root of 25 and b is the square root of 16.  The square root of 25 is 5, the square root of 16 is 4, so our factored quadratic is

(5n + 4)(5n - 4)