What is factor 16x^6-81 ?

The solution to factor 16x^6-81 is (4x^3+9)(4x^3-9)

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factor 16x^6-81

factor

16 x^{6} - 81

(4 x^{3} + 9) (4 x^{3} - 9)

Solution steps

16 x^{6} - 81

Apply exponent rules

= (4 x^{3})^{2} - 9^{2}

Apply Difference of Two Squares Formula:

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

(4 x^{3})^{2} - 9^{2} = (4 x^{3} + 9) (4 x^{3} - 9)

= (4 x^{3} + 9) (4 x^{3} - 9)

- 12 5^{\frac{1}{3}}

\frac{10 3}{2}

\frac{1}{a - 5} + \frac{a}{a ^{2} - 4 a - 5} + \frac{a + 5}{a ^{2} + 2 a + 1}

(3 a - 2 b)^{3}

\frac{16}{28}