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

The solution to (2-2sqrt(x-3))^2 is 4x-8sqrt(x-3)-8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

(2 - 2 x - 3)^{2}

4 x - 8 x - 3 - 8

Solution steps

(2 - 2 x - 3)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} - 2 \cdot 2 \cdot 2 x - 3 + (2 x - 3)^{2} : 4 x - 8 x - 3 - 8

= 4 x - 8 x - 3 - 8

\frac{( 3 ( k + 1 ) ) ! 2. 3 ^{k + 1}}{( ( k + 1 ) ! ) ^{3}}

l {(x - sin (x))^{2}}

(2 x - 5) ln (2)

\frac{x ^{3}}{( x ^{2} + 1 ) ( s + 1 ) ( s - 1 )}

(- 2 ry cos (t) - z sin (t) - x y cos (t))^{2}