What is expand 3(y^2+2xy(dy)/(dx)) ?

The solution to expand 3(y^2+2xy(dy)/(dx)) is 3y^2+6yx(dy)/(dx)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 3(y^2+2xy(dy)/(dx))

expand

3 (y^{2} + 2 x y \frac{d y}{d x})

3 y^{2} + 6 y x \frac{d y}{d x}

Solution steps

3 (y^{2} + 2 x y \frac{d y}{d x})

= 3 (y^{2} + 2 y x \frac{d y}{d x})

Apply the distributive law:

a (b + c) = ab + a c

a = 3, b = y^{2}, c = 2 x y \frac{d y}{d x}

= 3 y^{2} + 3 \cdot 2 x y \frac{d y}{d x}

= 3 y^{2} + 3 \cdot 2 y x \frac{d y}{d x}

Multiply the numbers:

3 \cdot 2 = 6

= 3 y^{2} + 6 y x \frac{d y}{d x}

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

\frac{( x - 5 )}{( 2 x ( 3 x - 4 ) )}

(\frac{1 + r}{r})^{2}

\frac{( x + 3 ) ( 2 x + 1 )}{x + 1}

2 \cdot (2 \cdot ln (2) - 2)

What is expand 3(y^2+2xy(dy)/(dx)) ?
The solution to expand 3(y^2+2xy(dy)/(dx)) is 3y^2+6yx(dy)/(dx)