What is expand (x^2+7x+2)(e^x-ln(x)) ?

The solution to expand (x^2+7x+2)(e^x-ln(x)) is e^xx^2-x^2ln(x)+7e^xx-7xln(x)+2e^x-2ln(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x^2+7x+2)(e^x-ln(x))

expand

(x^{2} + 7 x + 2) (e^{x} - ln (x))

e^{x} x^{2} - x^{2} ln (x) + 7 e^{x} x - 7 x ln (x) + 2 e^{x} - 2 ln (x)

Solution steps

(x^{2} + 7 x + 2) (e^{x} - ln (x))

Distribute parentheses

= x^{2} e^{x} + x^{2} (- ln (x)) + 7 x e^{x} + 7 x (- ln (x)) + 2 e^{x} + 2 (- ln (x))

Apply minus-plus rules

+ (- a) = - a

= e^{x} x^{2} - x^{2} ln (x) + 7 e^{x} x - 7 x ln (x) + 2 e^{x} - 2 ln (x)

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

\frac{x - 9}{x ( x - 3 )}

- 3 (a + 5) (a + 3)^{'}

sin (3 u) sin (3 (t - u))

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

What is expand (x^2+7x+2)(e^x-ln(x)) ?
The solution to expand (x^2+7x+2)(e^x-ln(x)) is e^xx^2-x^2ln(x)+7e^xx-7xln(x)+2e^x-2ln(x)