What is (sqrt(x-3)+2)^2 ?

The solution to (sqrt(x-3)+2)^2 is x+4sqrt(x-3)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(x-3)+2)^2

simplify

(x - 3 + 2)^{2}

x + 4 x - 3 + 1

Solution steps

(x - 3 + 2)^{2}

Apply Perfect Square Formula:

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

(x - 3 + 2)^{2} = (x - 3)^{2} + 2 x - 3 \cdot 2 + 2^{2}

= (x - 3)^{2} + 2 x - 3 \cdot 2 + 2^{2}

Simplify

(x - 3)^{2} + 2 x - 3 \cdot 2 + 2^{2} : x + 4 x - 3 + 1

= x + 4 x - 3 + 1

\frac{x}{( x ^{2} + 4 x + 4 ) ( x ^{2} + x + 1 )}

7 (sin (2 x) - cos (2 x))

(3 - 2 i)^{4}

(t^{2} + 1) e^{t}