What is expand ((x-6)^4)/(81) ?

The solution to expand ((x-6)^4)/(81) is (x^4}{81}-(8x^3)/(27)+\frac{8x^2)/3-(32x)/3+16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((x-6)^4)/(81)

expand

\frac{( x - 6 ) ^{4}}{81}

\frac{x ^{4}}{81} - \frac{8 x ^{3}}{27} + \frac{8 x ^{2}}{3} - \frac{32 x}{3} + 16

Solution steps

\frac{( x - 6 ) ^{4}}{81}

(x - 6)^{4} = x^{4} - 24 x^{3} + 216 x^{2} - 864 x + 1296

= \frac{x ^{4} - 24 x ^{3} + 216 x ^{2} - 864 x + 1296}{81}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{4} - 24 x ^{3} + 216 x ^{2} - 864 x + 1296}{81} = \frac{x ^{4}}{81} - \frac{24 x ^{3}}{81} + \frac{216 x ^{2}}{81} - \frac{864 x}{81} + \frac{1296}{81}

= \frac{x ^{4}}{81} - \frac{24 x ^{3}}{81} + \frac{216 x ^{2}}{81} - \frac{864 x}{81} + \frac{1296}{81}

\frac{24 x ^{3}}{81} = \frac{8 x ^{3}}{27}

\frac{216 x ^{2}}{81} = \frac{8 x ^{2}}{3}

\frac{864 x}{81} = \frac{32 x}{3}

\frac{1296}{81} = 16

= \frac{x ^{4}}{81} - \frac{8 x ^{3}}{27} + \frac{8 x ^{2}}{3} - \frac{32 x}{3} + 16

6 (- 1)^{5} - 24 (- 1)^{3} + 18 (- 1)

\frac{2 ( - 24 s - 6 s ^{2} + 12 )}{s ( - s ^{2} - 3 s + 6 )}

\frac{9 α ^{2} ( sin ( α ) ) ^{2} + 4}{α ( sin ( α ) )}

22 m (10 + 2 m)

(x - h)^{2} + (y - k - c)^{2}

What is expand ((x-6)^4)/(81) ?
The solution to expand ((x-6)^4)/(81) is (x^4}{81}-(8x^3)/(27)+\frac{8x^2)/3-(32x)/3+16