en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand e^x(6x-3x^2)

Solution

expand

e^{x} (6 x - 3 x^{2})

Solution

6 e^{x} x - 3 e^{x} x^{2}

Solution steps

e^{x} (6 x - 3 x^{2})

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x}, b = 6 x, c = 3 x^{2}

= e^{x} \cdot 6 x - e^{x} \cdot 3 x^{2}

= 6 e^{x} x - 3 e^{x} x^{2}

Popular Examples

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

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

expand (x(4x^4-10x^2-5))/2 expand

\frac{x ( 4 x ^{4} - 10 x ^{2} - 5 )}{2}

expand 3x^4(5x^3-\sqrt[3]{x}+1)expand

(((x+1)(x+2)(x+3)(x+4)))/((x^2+5x))

\frac{( ( x + 1 ) ( x + 2 ) ( x + 3 ) ( x + 4 ) )}{( x ^{2} + 5 x )}

d/(dt)(({f}(t))(2e^{(t^3)}+2cos(3t)))

\frac{d}{d t} ((f (t)) (2 e^{(t^{3})} + 2 cos (3 t)))

Frequently Asked Questions (FAQ)

What is expand e^x(6x-3x^2) ?
The solution to expand e^x(6x-3x^2) is 6e^xx-3e^xx^2