en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (D+1)(D+x)e^x

Solution

expand

(D + 1) (D + x) e^{x}

Solution

D^{2} e^{x} + D e^{x} x + D e^{x} + e^{x} x

Solution steps

(D + 1) (D + x) e^{x}

= e^{x} (D + 1) (D + x)

Expand

(D + 1) (D + x) : D^{2} + D x + D + x

= e^{x} (D^{2} + D x + D + x)

Expand

e^{x} (D^{2} + D x + D + x) : D^{2} e^{x} + D e^{x} x + D e^{x} + e^{x} x

= D^{2} e^{x} + D e^{x} x + D e^{x} + e^{x} x

Popular Examples

simplify 4(sin(2x)-cos(2x))simplify

4 (sin (2 x) - cos (2 x))

simplify (3+4i)^5 simplify

(3 + 4 i)^{5}

expand 9(3/5 x+4/5 y)^2 expand

9 (\frac{3}{5} x + \frac{4}{5} y)^{2}

expand (a-1+x)left(a-1-x)expand

(a - 1 + x) l e f t (a - 1 - x)

expand (8s+7-4e^{-5s})/(2(s+2)(s+10))expand

\frac{8 s + 7 - 4 e ^{- 5 s}}{2 ( s + 2 ) ( s + 10 )}

Frequently Asked Questions (FAQ)

What is expand (D+1)(D+x)e^x ?
The solution to expand (D+1)(D+x)e^x is D^2e^x+De^xx+De^x+e^xx