What is expand ((n^2-36)^2)/(36n^2) ?

The solution to expand ((n^2-36)^2)/(36n^2) is (n^2)/(36)-2+(36)/(n^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((n^2-36)^2)/(36n^2)

expand

\frac{( n ^{2} - 36 ) ^{2}}{36 n ^{2}}

\frac{n ^{2}}{36} - 2 + \frac{36}{n ^{2}}

Solution steps

\frac{( n ^{2} - 36 ) ^{2}}{36 n ^{2}}

(n^{2} - 36)^{2} = n^{4} - 72 n^{2} + 1296

= \frac{n ^{4} - 72 n ^{2} + 1296}{36 n ^{2}}

Apply the fraction rule:

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

\frac{n ^{4} - 72 n ^{2} + 1296}{36 n ^{2}} = \frac{n ^{4}}{36 n ^{2}} - \frac{72 n ^{2}}{36 n ^{2}} + \frac{1296}{36 n ^{2}}

= \frac{n ^{4}}{36 n ^{2}} - \frac{72 n ^{2}}{36 n ^{2}} + \frac{1296}{36 n ^{2}}

Cancel

\frac{n ^{4}}{36 n ^{2}} : \frac{n ^{2}}{36}

= \frac{n ^{2}}{36} - \frac{72 n ^{2}}{36 n ^{2}} + \frac{1296}{36 n ^{2}}

Cancel

\frac{72 n ^{2}}{36 n ^{2}} : 2

= \frac{n ^{2}}{36} - 2 + \frac{1296}{36 n ^{2}}

Divide the numbers:

\frac{1296}{36} = 36

= \frac{n ^{2}}{36} - 2 + \frac{36}{n ^{2}}

\frac{2 ( 6 + 51 )}{3}

(2 π k^{5} + 5 k^{4}) (πk + 3)

53.39 (1 - e^{- 0.18355 t})

\frac{- 2 x - h}{x ^{2} ( x + h ) ^{2}}

\frac{s + 2}{( s + 1 ) ^{2}}

What is expand ((n^2-36)^2)/(36n^2) ?
The solution to expand ((n^2-36)^2)/(36n^2) is (n^2)/(36)-2+(36)/(n^2)