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

The solution to (5-2sqrt(x))^2 is 25-20sqrt(x)+4x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

(5 - 2 x)^{2}

25 - 20 x + 4 x

Solution steps

(5 - 2 x)^{2}

Apply Perfect Square Formula:

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

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

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

5^{2} = 25

- 2 \cdot 5 \cdot 2 x = - 20 x

(2 x)^{2} = 4 x

= 25 - 20 x + 4 x

\frac{d}{d x} (- 2 + 4 x^{2}) - 2 x (- 2 + 4 x^{2})

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

(5 x - 1)^{2}

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

(2 + x - x^{2})^{6}