What is 3xy^2*(x-y)/(3xy) ?

The solution to 3xy^2*(x-y)/(3xy) is y(x-y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3xy^2*(x-y)/(3xy)

simplify

3 x y^{2} \cdot \frac{x - y}{3 x y}

y (x - y)

Solution steps

3 x y^{2} \frac{x - y}{3 x y}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Cancel the common factor:

3

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

Cancel the common factor:

x

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

y^{2} = yy

= \frac{yy ( x - y )}{y}

Cancel the common factor:

y

= y (x - y)

(2 x + 3 y) (3 x + 2 y)

36 x^{10}

49 - y^{2}

4 a^{4} + 3 a^{2} b^{2} + 9 b^{4}

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