What is expand ((x+5)^2(x-5)^2)/(2x) ?

The solution to expand ((x+5)^2(x-5)^2)/(2x) is (x^3)/2-25x+(625)/(2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((x+5)^2(x-5)^2)/(2x)

expand

\frac{( x + 5 ) ^{2} ( x - 5 ) ^{2}}{2 x}

\frac{x ^{3}}{2} - 25 x + \frac{625}{2 x}

Solution steps

\frac{( x + 5 ) ^{2} ( x - 5 ) ^{2}}{2 x}

(x + 5)^{2} = x^{2} + 10 x + 25

= \frac{( x ^{2} + 10 x + 25 ) ( x - 5 ) ^{2}}{2 x}

(x - 5)^{2} = x^{2} - 10 x + 25

= \frac{( x ^{2} + 10 x + 25 ) ( x ^{2} - 10 x + 25 )}{2 x}

Expand

(x^{2} + 10 x + 25) (x^{2} - 10 x + 25) : x^{4} - 50 x^{2} + 625

= \frac{x ^{4} - 50 x ^{2} + 625}{2 x}

Apply the fraction rule:

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

\frac{x ^{4} - 50 x ^{2} + 625}{2 x} = \frac{x ^{4}}{2 x} - \frac{50 x ^{2}}{2 x} + \frac{625}{2 x}

= \frac{x ^{4}}{2 x} - \frac{50 x ^{2}}{2 x} + \frac{625}{2 x}

Cancel

\frac{x ^{4}}{2 x} : \frac{x ^{3}}{2}

= \frac{x ^{3}}{2} - \frac{50 x ^{2}}{2 x} + \frac{625}{2 x}

Cancel

\frac{50 x ^{2}}{2 x} : 25 x

= \frac{x ^{3}}{2} - 25 x + \frac{625}{2 x}

\frac{2 ( - t ^{2} + 1 )}{( t ^{2} + 1 ) ^{2}}

\frac{2 ( 1 - 3 ^{\frac{2}{3}} ) ^{\frac{3}{2}} + 2}{3}

10 (- 2 e^{- 2 x} + 3 e^{- 3 x})

\frac{x ^{2} + 7 x + 11}{( x + 2 ) ( x + 1 ) ( x + 3 )}

e^{(x^{2} + y^{2})^{2}}

What is expand ((x+5)^2(x-5)^2)/(2x) ?
The solution to expand ((x+5)^2(x-5)^2)/(2x) is (x^3)/2-25x+(625)/(2x)