What is factor x^4-6561 ?

The solution to factor x^4-6561 is (x^2+81)(x+9)(x-9)

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factor x^4-6561

factor

x^{4} - 6561

(x^{2} + 81) (x + 9) (x - 9)

Solution steps

x^{4} - 6561

Apply exponent rules

= (x^{2})^{2} - 8 1^{2}

Apply Difference of Two Squares Formula:

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

(x^{2})^{2} - 8 1^{2} = (x^{2} + 81) (x^{2} - 81)

= (x^{2} + 81) (x^{2} - 81)

Factor

x^{2} - 81 : (x + 9) (x - 9)

= (x^{2} + 81) (x + 9) (x - 9)

\frac{1}{5} (x - 12) = \frac{1}{4} (x - 15)

\frac{2 ( 4 ) ^{\frac{3}{2}}}{3}

\frac{6}{5}

8 \times \frac{1}{2}

- 2 ∣ 5 x + 2 ∣ + 4 \leq 3