What is expand sqrt(x)(x^2+1)^{10} ?

The solution to expand sqrt(x)(x^2+1)^{10} is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand sqrt(x)(x^2+1)^{10}

expand

x (x^{2} + 1)^{10}

x^{20} x + 10 x^{18} x + 45 x^{16} x + 120 x^{14} x + 210 x^{12} x + 252 x^{10} x + 210 x^{8} x + 120 x^{6} x + 45 x^{4} x + 10 x^{2} x + x

Solution steps

x (x^{2} + 1)^{10}

Expand

(x^{2} + 1)^{10} : x^{20} + 10 x^{18} + 45 x^{16} + 120 x^{14} + 210 x^{12} + 252 x^{10} + 210 x^{8} + 120 x^{6} + 45 x^{4} + 10 x^{2} + 1

= x (x^{20} + 10 x^{18} + 45 x^{16} + 120 x^{14} + 210 x^{12} + 252 x^{10} + 210 x^{8} + 120 x^{6} + 45 x^{4} + 10 x^{2} + 1)

Distribute parentheses

= x x^{20} + x \cdot 10 x^{18} + x \cdot 45 x^{16} + x \cdot 120 x^{14} + x \cdot 210 x^{12} + x \cdot 252 x^{10} + x \cdot 210 x^{8} + x \cdot 120 x^{6} + x \cdot 45 x^{4} + x \cdot 10 x^{2} + x \cdot 1

Simplify

x x^{20} + x \cdot 10 x^{18} + x \cdot 45 x^{16} + x \cdot 120 x^{14} + x \cdot 210 x^{12} + x \cdot 252 x^{10} + x \cdot 210 x^{8} + x \cdot 120 x^{6} + x \cdot 45 x^{4} + x \cdot 10 x^{2} + x \cdot 1 : x^{20} x + 10 x^{18} x + 45 x^{16} x + 120 x^{14} x + 210 x^{12} x + 252 x^{10} x + 210 x^{8} x + 120 x^{6} x + 45 x^{4} x + 10 x^{2} x + x

= x^{20} x + 10 x^{18} x + 45 x^{16} x + 120 x^{14} x + 210 x^{12} x + 252 x^{10} x + 210 x^{8} x + 120 x^{6} x + 45 x^{4} x + 10 x^{2} x + x

\int_{1}^{5} (x - 3) d x

\frac{1}{t ^{2} + 6 t - 2}

\frac{d}{d x} (x^{4} + 3 x^{2} - 6)

x \to 0 lim (\frac{5 x}{x ^{2} + 5 x})

\frac{d y}{d x} + 2 y = e^{x} y^{- 6}

What is expand sqrt(x)(x^2+1)^{10} ?
The solution to expand sqrt(x)(x^2+1)^{10} is