What is expand (2(x+5)(-x^2-10x+2))/((x^2+2)^3) ?

The solution to expand (2(x+5)(-x^2-10x+2))/((x^2+2)^3) is (-2x^3-30x^2-96x+20)/(x^6+6x^4+12x^2+8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2(x+5)(-x^2-10x+2))/((x^2+2)^3)

expand

\frac{2 ( x + 5 ) ( - x ^{2} - 10 x + 2 )}{( x ^{2} + 2 ) ^{3}}

\frac{- 2 x ^{3} - 30 x ^{2} - 96 x + 20}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

Solution steps

\frac{2 ( x + 5 ) ( - x ^{2} - 10 x + 2 )}{( x ^{2} + 2 ) ^{3}}

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

= \frac{2 ( x + 5 ) ( - x ^{2} - 10 x + 2 )}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

Expand

2 (x + 5) (- x^{2} - 10 x + 2) : - 2 x^{3} - 30 x^{2} - 96 x + 20

= \frac{- 2 x ^{3} - 30 x ^{2} - 96 x + 20}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

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

(4 x + 4)^{2}

(- cot (x) csc (x)) (2 csc (x) - 1)

(y + Δ)^{3}

What is expand (2(x+5)(-x^2-10x+2))/((x^2+2)^3) ?
The solution to expand (2(x+5)(-x^2-10x+2))/((x^2+2)^3) is (-2x^3-30x^2-96x+20)/(x^6+6x^4+12x^2+8)