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

The solution to (y-x)/(x^2-y^2) is -1/(x+y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

- \frac{1}{x + y}

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

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

(x + y) (x - y) = - (x + y) (y - x)

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

Cancel the common factor:

y - x

= \frac{1}{- ( x + y )}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{1}{x + y}

∣ 3 - 7 ∣

50 x^{2} y - 32 y^{3}

∣ 2 - 3 i ∣

2 (- 5 - 7 j)

(- 6) + (- 5)