What is factor x^4-4096 ?

The solution to factor x^4-4096 is (x^2+64)(x+8)(x-8)

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factor x^4-4096

factor

x^{4} - 4096

(x^{2} + 64) (x + 8) (x - 8)

Solution steps

x^{4} - 4096

Apply exponent rules

= (x^{2})^{2} - 6 4^{2}

Apply Difference of Two Squares Formula:

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

(x^{2})^{2} - 6 4^{2} = (x^{2} + 64) (x^{2} - 64)

= (x^{2} + 64) (x^{2} - 64)

Factor

x^{2} - 64 : (x + 8) (x - 8)

= (x^{2} + 64) (x + 8) (x - 8)

4 c^{5} - 500 c^{2}

- 2 = \frac{3 x - 2}{4}

n^{2} + 10 n + 25

6 x^{2} + 6 x - 12

4 (x + 1) - x = 3 (x - 1) + 7