What is expand (pix+1)^3 ?

The solution to expand (pix+1)^3 is pi^3x^3+3pi^2x^2+3pix+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (pix+1)^3

expand

(π x + 1)^{3}

π^{3} x^{3} + 3 π^{2} x^{2} + 3 π x + 1

Solution steps

(π x + 1)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = π x, b = 1

= (π x)^{3} + 3 (π x)^{2} \cdot 1 + 3 π x \cdot 1^{2} + 1^{3}

Simplify

(π x)^{3} + 3 (π x)^{2} \cdot 1 + 3 π x \cdot 1^{2} + 1^{3} : π^{3} x^{3} + 3 π^{2} x^{2} + 3 π x + 1

= π^{3} x^{3} + 3 π^{2} x^{2} + 3 π x + 1

\frac{d y k}{y ( k - y )}

\frac{( - 6 - 3 y + 4 x ) ( 18 - 3 y - 4 x )}{9}

\frac{( 7 a + 3 b ) 8}{9}

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

54 \cdot (e^{60} - 1)

What is expand (pix+1)^3 ?
The solution to expand (pix+1)^3 is pi^3x^3+3pi^2x^2+3pix+1