What is (5-sqrt(x+1))^2 ?

The solution to (5-sqrt(x+1))^2 is x-10sqrt(x+1)+26

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5-sqrt(x+1))^2

simplify

(5 - x + 1)^{2}

x - 10 x + 1 + 26

Solution steps

(5 - x + 1)^{2}

Apply Perfect Square Formula:

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

(5 - x + 1)^{2} = 5^{2} - 2 \cdot 5 x + 1 + (x + 1)^{2}

= 5^{2} - 2 \cdot 5 x + 1 + (x + 1)^{2}

Simplify

5^{2} - 2 \cdot 5 x + 1 + (x + 1)^{2} : x - 10 x + 1 + 26

= x - 10 x + 1 + 26

(1 - cos (4 x))^{2} + ln^{2} (1 + 3 x^{2}) - sin^{5} (4 x)

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

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

(sin (x) + cos (x)) (sin (y) + cos (y))

x (x^{3} e^{7 x} + 2)