What is expand ((3x(x+6)^3))/3-(x+6)^3 ?

The solution to expand ((3x(x+6)^3))/3-(x+6)^3 is x^4+17x^3+90x^2+108x-216

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((3x(x+6)^3))/3-(x+6)^3

expand

\frac{( 3 x ( x + 6 ) ^{3} )}{3} - (x + 6)^{3}

x^{4} + 17 x^{3} + 90 x^{2} + 108 x - 216

Solution steps

\frac{3 x ( x + 6 ) ^{3}}{3} - (x + 6)^{3}

Expand

- (x + 6)^{3} : - x^{3} - 18 x^{2} - 108 x - 216

= \frac{3 x ( x + 6 ) ^{3}}{3} - x^{3} - 18 x^{2} - 108 x - 216

Cancel the common factor:

3

= x (x + 6)^{3} - x^{3} - 18 x^{2} - 108 x - 216

Expand

x (x + 6)^{3} : x^{4} + 18 x^{3} + 108 x^{2} + 216 x

= x^{4} + 18 x^{3} + 108 x^{2} + 216 x - x^{3} - 18 x^{2} - 108 x - 216

Group like terms

= x^{4} + 18 x^{3} - x^{3} + 108 x^{2} - 18 x^{2} + 216 x - 108 x - 216

Add similar elements:

18 x^{3} - x^{3} = 17 x^{3}

= x^{4} + 17 x^{3} + 108 x^{2} - 18 x^{2} + 216 x - 108 x - 216

Add similar elements:

108 x^{2} - 18 x^{2} = 90 x^{2}

= x^{4} + 17 x^{3} + 90 x^{2} + 216 x - 108 x - 216

Add similar elements:

216 x - 108 x = 108 x

= x^{4} + 17 x^{3} + 90 x^{2} + 108 x - 216

\frac{( 2 x + 7 ) ( 1 - 5 x ) ( x + 2 )}{x ( 1 - x ) ^{2}}

\frac{14 !}{( 14 - 4 ) 4 !}

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

15 (x + 3 = 60)

(r^{2} - 23)^{2}

What is expand ((3x(x+6)^3))/3-(x+6)^3 ?
The solution to expand ((3x(x+6)^3))/3-(x+6)^3 is x^4+17x^3+90x^2+108x-216