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

The solution to (3-sqrt(2x))^2 is 9-6sqrt(2)sqrt(x)+2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

(3 - 2 x)^{2}

9 - 62 x + 2 x

Solution steps

(3 - 2 x)^{2}

Apply Perfect Square Formula:

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

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

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

3^{2} = 9

- 2 \cdot 3 2 x = - 6 2 x

(2 x)^{2} = 2 x

= 9 - 6 2 x + 2 x

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 9 - 62 x + 2 x

1^{4569}

\frac{3}{8} \div \frac{7}{2}

\frac{1}{x ^{3}}

12 x^{3} - 75 x

∣ - 2 - 4 ∣