en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2(3x-1)(-3x^2+2x+6))/((x^2+2)^3)

Solution

expand

\frac{2 ( 3 x - 1 ) ( - 3 x ^{2} + 2 x + 6 )}{( x ^{2} + 2 ) ^{3}}

Solution

\frac{- 18 x ^{3} + 18 x ^{2} + 32 x - 12}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

Solution steps

\frac{2 ( 3 x - 1 ) ( - 3 x ^{2} + 2 x + 6 )}{( x ^{2} + 2 ) ^{3}}

(x^{2} + 2)^{3} = x^{6} + 6 x^{4} + 12 x^{2} + 8

= \frac{2 ( 3 x - 1 ) ( - 3 x ^{2} + 2 x + 6 )}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

Expand

2 (3 x - 1) (- 3 x^{2} + 2 x + 6) : - 18 x^{3} + 18 x^{2} + 32 x - 12

= \frac{- 18 x ^{3} + 18 x ^{2} + 32 x - 12}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

Popular Examples

simplify-(2.9)/(((s+3.5)(s+2.7)))simplify

- \frac{2.9}{( ( s + 3.5 ) ( s + 2.7 ) )}

simplify 25(sqrt(2185)-35)simplify

25 (2185 - 35)

expand (x-4)(x-sqrt(5))(x+sqrt(5))expand

(x - 4) (x - 5) (x + 5)

expand (9x^3+2x)/((6x+1)^3)expand

\frac{9 x ^{3} + 2 x}{( 6 x + 1 ) ^{3}}

expand sqrt(x)(1-x^2)expand

x (1 - x^{2})

Frequently Asked Questions (FAQ)

What is expand (2(3x-1)(-3x^2+2x+6))/((x^2+2)^3) ?
The solution to expand (2(3x-1)(-3x^2+2x+6))/((x^2+2)^3) is (-18x^3+18x^2+32x-12)/(x^6+6x^4+12x^2+8)