en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x/2-y/5)^2

Solution

simplify

(\frac{x}{2} - \frac{y}{5})^{2}

Solution

\frac{( 5 x - 2 y ) ^{2}}{100}

Solution steps

(\frac{x}{2} - \frac{y}{5})^{2}

Simplify

\frac{x}{2} - \frac{y}{5} : \frac{5 x - 2 y}{10}

= (\frac{5 x - 2 y}{10})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 5 x - 2 y ) ^{2}}{1 0 ^{2}}

1 0^{2} = 100

= \frac{( 5 x - 2 y ) ^{2}}{100}

Popular Examples

factor x^2-y^2+2y-1 factor

x^{2} - y^{2} + 2 y - 1

simplify 10^{1/2}*10^{1/4}simplify

1 0^{\frac{1}{2}} \cdot 1 0^{\frac{1}{4}}

factor x*y^4-x^3 factor

x \cdot y^{4} - x^{3}

expand (0.2+0.4y)(0.2x-0.4y)expand

(0.2 + 0.4 y) (0.2 x - 0.4 y)

simplify 4^{k-3}*4^{4-k}simplify

4^{k - 3} \cdot 4^{4 - k}

Frequently Asked Questions (FAQ)

What is (x/2-y/5)^2 ?
The solution to (x/2-y/5)^2 is ((5x-2y)^2)/(100)