Factor 1/16-z^4

Math
116-z4
Rewrite 1 as 12.
1216-z4
Rewrite 16 as 42.
1242-z4
Rewrite 1242 as (14)2.
(14)2-z4
Rewrite z4 as (z2)2.
(14)2-(z2)2
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=14 and b=z2.
(14+z2)(14-z2)
Simplify.
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Rewrite 1 as 12.
(14+z2)(124-z2)
Rewrite 4 as 22.
(14+z2)(1222-z2)
Rewrite 1222 as (12)2.
(14+z2)((12)2-z2)
Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=12 and b=z.
(14+z2)((12+z)(12-z))
Remove unnecessary parentheses.
(14+z2)(12+z)(12-z)
(14+z2)(12+z)(12-z)
(14+z2)(12+z)(12-z)
Factor 1/16-z^4

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