What is factor 9z^{8n}-16 ?

The solution to factor 9z^{8n}-16 is (3z^{4n}+4)(3z^{4n}-4)

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factor 9z^{8n}-16

factor

9 z^{8 n} - 16

(3 z^{4 n} + 4) (3 z^{4 n} - 4)

Solution steps

9 z^{8 n} - 16

Rewrite

9 z^{8 n}

(3 z^{4 n})^{2}

= (3 z^{4 n})^{2} - 16

Rewrite

16

4^{2}

= (3 z^{4 n})^{2} - 4^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(3 z^{4 n})^{2} - 4^{2} = (3 z^{4 n} + 4) (3 z^{4 n} - 4)

= (3 z^{4 n} + 4) (3 z^{4 n} - 4)

- 0.06 x^{2} + 1.31 x + 1.38

56 b w - 49 bk + 40 x w - 35 x k

20 n + 25 n

12 x^{2} - 11 x - 5^{2}

What is factor 9z^{8n}-16 ?
The solution to factor 9z^{8n}-16 is (3z^{4n}+4)(3z^{4n}-4)