What is expand (5+7x)x^4e^{7x} ?

The solution to expand (5+7x)x^4e^{7x} is 5e^{7x}x^4+7e^{7x}x^5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (5+7x)x^4e^{7x}

expand

(5 + 7 x) x^{4} e^{7 x}

5 e^{7 x} x^{4} + 7 e^{7 x} x^{5}

Solution steps

(5 + 7 x) x^{4} e^{7 x}

= e^{7 x} x^{4} (5 + 7 x)

Apply the distributive law:

a (b + c) = ab + a c

a = x^{4} e^{7 x}, b = 5, c = 7 x

= x^{4} e^{7 x} \cdot 5 + x^{4} e^{7 x} \cdot 7 x

= 5 e^{7 x} x^{4} + 7 e^{7 x} x^{4} x

7 e^{7 x} x^{4} x = 7 e^{7 x} x^{5}

= 5 e^{7 x} x^{4} + 7 e^{7 x} x^{5}

(7 x - 19) sin (x^{2} - 4 x + 4)

1 + \frac{5 ( \frac{0.5}{s} + 0.5 )}{( 2 s + 1 ) ( 0.1 s + 1 )}

lo g_{7} (49 x^{5})

\frac{1}{( 1 + x ) ^{8}}

2 ((4 - t^{6}) (- 2 + t^{6}))

What is expand (5+7x)x^4e^{7x} ?
The solution to expand (5+7x)x^4e^{7x} is 5e^{7x}x^4+7e^{7x}x^5