Answer
Rewrite the absolute value of both terms as squares, from which you
determine the square roots of each of these squares.
The factorization is the product of two sets of parentheses containing binomials.
The first is the sum of square roots of the squares.
The second is the difference of the square roots of the squares.
Work Step by Step
Rewrite the absolute value of both terms as squares, from which you
determine the square roots of each of these squares.
The factorization is the product of two sets of parentheses containing binomials.
The first is the sum of square roots of the squares.
The second is the difference of the square roots of the squares.
Ex. 1:
$s^{2}-16=(s)^{2}-(4)^{4}$
... the square roots are s and 4...
$=(s-4)(s+4)$
Ex. 2:
$9z^{2}-25=(3z)^{2}-(5)^{2}$
... the square roots are 3z and 5...
$=(3z-5)(3z+5)$
