What is expand (e^x+1/u)^2 ?

The solution to expand (e^x+1/u)^2 is e^{2x}+(2e^x)/u+1/(u^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^x+1/u)^2

expand

(e^{x} + \frac{1}{u})^{2}

e^{2 x} + \frac{2 e ^{x}}{u} + \frac{1}{u ^{2}}

Solution steps

(e^{x} + \frac{1}{u})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = e^{x}, b = \frac{1}{u}

= (e^{x})^{2} + 2 e^{x} \frac{1}{u} + (\frac{1}{u})^{2}

Simplify

(e^{x})^{2} + 2 e^{x} \frac{1}{u} + (\frac{1}{u})^{2} : e^{2 x} + \frac{2 e ^{x}}{u} + \frac{1}{u ^{2}}

= e^{2 x} + \frac{2 e ^{x}}{u} + \frac{1}{u ^{2}}

\frac{d ^{2}}{d x ^{2}} ((y) (5 x^{3} + sin (x)))

((- 1.1, 3.7) + (- 5, 1.5)) (- 2.9)

(9 x - 2 y = 11) (5)

(x + y) (x - y) d x

\frac{x ^{2} - 16 + 6 a x + 24 a}{6 ( x + 4 )}

What is expand (e^x+1/u)^2 ?
The solution to expand (e^x+1/u)^2 is e^{2x}+(2e^x)/u+1/(u^2)