What is expand (1+x^2)*sqrt(1+x^2) ?

The solution to expand (1+x^2)*sqrt(1+x^2) is sqrt(1+x^2)+x^2sqrt(1+x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1+x^2)*sqrt(1+x^2)

expand

(1 + x^{2}) \cdot 1 + x^{2}

1 + x^{2} + x^{2} 1 + x^{2}

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

= 1 + x^{2} \cdot 1 + 1 + x^{2} x^{2}

Simplify

1 + x^{2} \cdot 1 + 1 + x^{2} x^{2} : 1 + x^{2} + x^{2} 1 + x^{2}

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

\frac{8}{3} \cdot (ln (2) - \frac{1}{3})

y^{'} (x) (2 x + 1)^{3}

\frac{1}{48} (x - 5) (x - 3)

(10) \cdot (1 + (12 \cdot 1 0^{- 6} (\circ c)^{- 1})) \cdot (80)

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

What is expand (1+x^2)*sqrt(1+x^2) ?
The solution to expand (1+x^2)*sqrt(1+x^2) is sqrt(1+x^2)+x^2sqrt(1+x^2)