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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((-x^2+2xy-y^2))/((x-y))

simplify

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

- x + y

Solution steps

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

Factor

- x^{2} + 2 x y - y^{2} : - (x - y)^{2}

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x - y

= - (x - y)

Simplify

- (x - y) : - x + y

= - x + y

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

81 m^{8} + 18 m^{4} + 1

2 p^{2} - \frac{50}{q ^{2}}

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

\frac{( 6 x ^{3} \cdot y - 12 x ^{2} \cdot y ^{2} + 7 x y )}{( - 3 x y )}

What is ((-x^2+2xy-y^2))/((x-y)) ?
The solution to ((-x^2+2xy-y^2))/((x-y)) is -x+y