What is factor c^4-256 ?

The solution to factor c^4-256 is (c^2+16)(c+4)(c-4)

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factor c^4-256

factor

c^{4} - 256

(c^{2} + 16) (c + 4) (c - 4)

Solution steps

c^{4} - 256

Apply exponent rules

= (c^{2})^{2} - 1 6^{2}

Apply Difference of Two Squares Formula:

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

(c^{2})^{2} - 1 6^{2} = (c^{2} + 16) (c^{2} - 16)

= (c^{2} + 16) (c^{2} - 16)

Factor

c^{2} - 16 : (c + 4) (c - 4)

= (c^{2} + 16) (c + 4) (c - 4)

\frac{22 y ^{6} z ^{8}}{2 y z ^{- 7}}

2 5^{y - 3} \leq (\frac{1}{125})^{y + 2}

2 (1 - 0) - 5 < 11

4 - \frac{x}{6} > 8

\frac{π}{4} - \frac{π}{3}