en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4x+1)e^{5x}

Solution

expand

(4 x + 1) e^{5 x}

Solution

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

Solution steps

(4 x + 1) e^{5 x}

= e^{5 x} (4 x + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{5 x}, b = 4 x, c = 1

= e^{5 x} \cdot 4 x + e^{5 x} \cdot 1

= 4 e^{5 x} x + 1 \cdot e^{5 x}

Multiply:

1 \cdot e^{5 x} = e^{5 x}

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

Popular Examples

expand (x-0.5y+1=0,)(2x-y+6=0)expand

(x - 0.5 y + 1 = 0,) (2 x - y + 6 = 0)

expand ln(x)(x^2-1)expand

ln (x) (x^{2} - 1)

expand (2+3x-4x^2)^5 expand

(2 + 3 x - 4 x^{2})^{5}

expand-8d+(-1)+9d^2+8d expand

- 8 d + (- 1) + 9 d^{2} + 8 d

expand (2x)/x expand

\frac{2 x}{x}

Frequently Asked Questions (FAQ)

What is expand (4x+1)e^{5x} ?
The solution to expand (4x+1)e^{5x} is 4e^{5x}x+e^{5x}