What is expand (sqrt(2x+9)-sqrt(x))^2 ?

The solution to expand (sqrt(2x+9)-sqrt(x))^2 is 3x-2sqrt(2x^2+9x)+9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (sqrt(2x+9)-sqrt(x))^2

expand

(2 x + 9 - x)^{2}

3 x - 2 2 x^{2} + 9 x + 9

Solution steps

(2 x + 9 - x)^{2}

Apply Perfect Square Formula:

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

(2 x + 9 - x)^{2} = (2 x + 9)^{2} - 2 2 x + 9 x + (x)^{2}

= (2 x + 9)^{2} - 2 2 x + 9 x + (x)^{2}

Simplify

(2 x + 9)^{2} - 2 2 x + 9 x + (x)^{2} : 3 x - 2 2 x^{2} + 9 x + 9

= 3 x - 2 2 x^{2} + 9 x + 9

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

4 xv d v + (3 v^{2} - 1) d x

A (- 1, 1) y B (- 1, - 4)

\frac{( 2 x ^{\frac{1}{2}} - 8 ) ^{3}}{3}

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

What is expand (sqrt(2x+9)-sqrt(x))^2 ?
The solution to expand (sqrt(2x+9)-sqrt(x))^2 is 3x-2sqrt(2x^2+9x)+9