en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 2e^{x^2-4x}(2x-4)

Solution

expand

2 e^{x^{2} - 4 x} (2 x - 4)

Solution

4 e^{x^{2} - 4 x} x - 8 e^{x^{2} - 4 x}

Solution steps

2 e^{x^{2} - 4 x} (2 x - 4)

Apply the distributive law:

a (b - c) = ab - a c

a = 2 e^{x^{2} - 4 x}, b = 2 x, c = 4

= 2 e^{x^{2} - 4 x} \cdot 2 x - 2 e^{x^{2} - 4 x} \cdot 4

= 2 \cdot 2 e^{x^{2} - 4 x} x - 2 \cdot 4 e^{x^{2} - 4 x}

Simplify

2 \cdot 2 e^{x^{2} - 4 x} x - 2 \cdot 4 e^{x^{2} - 4 x} : 4 e^{x^{2} - 4 x} x - 8 e^{x^{2} - 4 x}

= 4 e^{x^{2} - 4 x} x - 8 e^{x^{2} - 4 x}

Popular Examples

expand-(3x+8-(-15+6x-(-3x+2)-(5x+4)-29)=-5)expand

- (3 x + 8 - (- 15 + 6 x - (- 3 x + 2) - (5 x + 4) - 29) = - 5)

expand cos(2(t-2pi))expand

cos (2 (t - 2 π))

expand 3c-3 expand

3 c - 3

expand (2(x+2))/5 expand

\frac{2 ( x + 2 )}{5}

expand ((x-1)^{4n}(x^3+8)(x-4))/(x^2-2x+2)expand

\frac{( x - 1 ) ^{4 n} ( x ^{3} + 8 ) ( x - 4 )}{x ^{2} - 2 x + 2}

Frequently Asked Questions (FAQ)

What is expand 2e^{x^2-4x}(2x-4) ?
The solution to expand 2e^{x^2-4x}(2x-4) is 4e^{x^2-4x}x-8e^{x^2-4x}