Show that the sum of squares x2 + 25 can be factored by adding and subtracting a particula...

Show that the sum of squares x2 + 25 can be factored by adding and subtracting a particular term and following the method demonstrated in Example.

EXAMPLE Factoring by grouping

Factor:

(c) x2 – 16y2 + 10x + 25

SOLUTION

(c) First we rearrange and group terms, and then we apply the difference of two squares formula, as follows: