en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1+h/R)^2

Solution

expand

(1 + \frac{h}{R})^{2}

Solution

\frac{R ^{2} + 2 h R + h ^{2}}{R ^{2}}

Solution steps

(1 + \frac{h}{R})^{2}

Apply Perfect Square Formula:

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

(1 + \frac{h}{R})^{2} = 1^{2} + 2 \cdot 1 \cdot \frac{h}{R} + (\frac{h}{R})^{2}

= 1^{2} + 2 \cdot 1 \cdot \frac{h}{R} + (\frac{h}{R})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot \frac{h}{R} + (\frac{h}{R})^{2} : \frac{R ^{2} + 2 h R + h ^{2}}{R ^{2}}

= \frac{R ^{2} + 2 h R + h ^{2}}{R ^{2}}

Popular Examples

expand (x^{7/2}-x^{5/2})*x^{3/2}expand

(x^{\frac{7}{2}} - x^{\frac{5}{2}}) \cdot x^{\frac{3}{2}}

expand-sqrt(3)(-2-sqrt(5))expand

- 3 (- 2 - 5)

expand 21(2+2/3 x)expand

21 (2 + \frac{2}{3} x)

expand (k(3k-2))/2+(3k-2)expand

\frac{k ( 3 k - 2 )}{2} + (3 k - 2)

simplify (t-sin(t))^2+(1-cos(t))^2 simplify

(t - sin (t))^{2} + (1 - cos (t))^{2}

Frequently Asked Questions (FAQ)

What is expand (1+h/R)^2 ?
The solution to expand (1+h/R)^2 is (R^2+2hR+h^2)/(R^2)