en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (t^2)(1+e^t)

Solution

expand

(t^{2}) (1 + e^{t})

Solution

t^{2} + e^{t} t^{2}

Solution steps

(t^{2}) (1 + e^{t})

Apply the distributive law:

a (b + c) = ab + a c

a = (t^{2}), b = 1, c = e^{t}

= (t^{2}) \cdot 1 + (t^{2}) e^{t}

= 1 \cdot (t^{2}) + e^{t} (t^{2})

Simplify

1 \cdot (t^{2}) + e^{t} (t^{2}) : t^{2} + e^{t} t^{2}

= t^{2} + e^{t} t^{2}

Popular Examples

expand (y^2(8y^{3/2}-y^3))/(24)expand

\frac{y ^{2} ( 8 y ^{\frac{3}{2}} - y ^{3} )}{24}

(((x-25)(x-30)(x-35)))/(750)

\frac{( ( x - 25 ) ( x - 30 ) ( x - 35 ) )}{750}

expand (e^{x+y}+ye^y)+(xe^y-1)(dy)/(dx)expand

(e^{x + y} + y e^{y}) + (x e^{y} - 1) \frac{d y}{d x}

(((3x-4)^3))/((2x+7)^2)

\frac{( ( 3 x - 4 ) ^{3} )}{( 2 x + 7 ) ^{2}}

expand 2(y-4)e^2 expand

2 (y - 4) e^{2}

Frequently Asked Questions (FAQ)

What is expand (t^2)(1+e^t) ?
The solution to expand (t^2)(1+e^t) is t^2+e^tt^2