What is expand ((x^2)/3+2x+4)^2 ?

The solution to expand ((x^2)/3+2x+4)^2 is (x^4)/9+(4x^3)/3+(20x^2)/3+16x+16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((x^2)/3+2x+4)^2

expand

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

\frac{x ^{4}}{9} + \frac{4 x ^{3}}{3} + \frac{20 x ^{2}}{3} + 16 x + 16

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Distribute parentheses

= \frac{x ^{2}}{3} \cdot \frac{x ^{2}}{3} + \frac{x ^{2}}{3} \cdot 2 x + \frac{x ^{2}}{3} \cdot 4 + 2 x \frac{x ^{2}}{3} + 2 x \cdot 2 x + 2 x \cdot 4 + 4 \cdot \frac{x ^{2}}{3} + 4 \cdot 2 x + 4 \cdot 4

Simplify

\frac{x ^{2}}{3} \cdot \frac{x ^{2}}{3} + \frac{x ^{2}}{3} \cdot 2 x + \frac{x ^{2}}{3} \cdot 4 + 2 x \frac{x ^{2}}{3} + 2 x \cdot 2 x + 2 x \cdot 4 + 4 \cdot \frac{x ^{2}}{3} + 4 \cdot 2 x + 4 \cdot 4 : \frac{x ^{4}}{9} + \frac{4 x ^{3}}{3} + \frac{20 x ^{2}}{3} + 16 x + 16

= \frac{x ^{4}}{9} + \frac{4 x ^{3}}{3} + \frac{20 x ^{2}}{3} + 16 x + 16

\frac{( 1 - e ^{- s} \cdot s - e ^{- s} )}{( s ^{2} ) ( s + 6 )}

\frac{d}{d θ} ((A) (5 π r (θ)^{2} - 4 r (θ)^{2} θ - 4 r (θ)^{2} sin (θ)))

(8.3 - 5.8) \frac{d}{d x} (6.1 (v (x), 8.3))

\frac{( 2 x - 1 ) ^{2}}{2 x}

\frac{( s - s e ^{- 4 s} - 10 )}{( s ^{2} \cdot ( s ^{2} + 2 s ) )}

What is expand ((x^2)/3+2x+4)^2 ?
The solution to expand ((x^2)/3+2x+4)^2 is (x^4)/9+(4x^3)/3+(20x^2)/3+16x+16