What is expand (36x(2x-y)^2)/(y^3) ?

The solution to expand (36x(2x-y)^2)/(y^3) is (144x^3}{y^3}-(144x^2)/(y^2)+\frac{36x)/y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (36x(2x-y)^2)/(y^3)

expand

\frac{36 x ( 2 x - y ) ^{2}}{y ^{3}}

\frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2}}{y ^{2}} + \frac{36 x}{y}

Solution steps

\frac{36 x ( 2 x - y ) ^{2}}{y ^{3}}

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

= \frac{36 x ( 4 x ^{2} - 4 x y + y ^{2} )}{y ^{3}}

Expand

36 x (4 x^{2} - 4 x y + y^{2}) : 144 x^{3} - 144 x^{2} y + 36 x y^{2}

= \frac{144 x ^{3} - 144 x ^{2} y + 36 x y ^{2}}{y ^{3}}

Apply the fraction rule:

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

\frac{144 x ^{3} - 144 x ^{2} y + 36 x y ^{2}}{y ^{3}} = \frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2} y}{y ^{3}} + \frac{36 x y ^{2}}{y ^{3}}

= \frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2} y}{y ^{3}} + \frac{36 x y ^{2}}{y ^{3}}

Cancel

\frac{144 x ^{2} y}{y ^{3}} : \frac{144 x ^{2}}{y ^{2}}

= \frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2}}{y ^{2}} + \frac{36 x y ^{2}}{y ^{3}}

Cancel

\frac{36 x y ^{2}}{y ^{3}} : \frac{36 x}{y}

= \frac{144 x ^{3}}{y ^{3}} - \frac{144 x ^{2}}{y ^{2}} + \frac{36 x}{y}

2 Lx - 3 x^{2}

\frac{5 x + 4}{( x + 12 ) ( x - 12 )}

\frac{s + 7}{( s + 2 ) ( s - 5 )}

c + 4

\frac{P ( x - i ) ^{2}}{2}

What is expand (36x(2x-y)^2)/(y^3) ?
The solution to expand (36x(2x-y)^2)/(y^3) is (144x^3}{y^3}-(144x^2)/(y^2)+\frac{36x)/y