What is factor x^4-256 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^4-256

factor

x^{4} - 256

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

Solution steps

x^{4} - 256

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

\frac{19 n ^{3} + 38 n ^{2}}{- 57 n ^{3} + 38 n ^{2}}

\frac{1}{4} n^{2} + \frac{3}{2} n = - \frac{3}{4}

- 2 x^{2} + 6 x - 4 = 0

x^{2} + 12 x y + 35 y^{2}

4 v^{3} - 12 v^{2} - 5 v + 15