What is factor p^4-256 ?

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

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factor p^4-256

factor

p^{4} - 256

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

Solution steps

p^{4} - 256

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

2 (\frac{8}{9})

(\frac{125}{27})^{\frac{2}{3}}

3 x^{2} + 20 x + 32

∣ x ∣ + ∣ 4 x - 4 ∣ + x = 14

(x - 2)^{2} = - 36