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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1+sqrt(x+1))^2

simplify

(1 + x + 1)^{2}

x + 2 x + 1 + 2

Solution steps

(1 + x + 1)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

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

= x + 2 x + 1 + 2

(x + 26) (x - 26)

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

(x^{6} y^{6}) (x^{11} y^{10})

(x - 3 - 1) (x - 3 + 1)

\frac{( a d - ec - e x ) ( - a - x )}{e} + \frac{ab d ^{2}}{e ^{2}}