What is (xy-x-y+1)/(x^2+9x-10) ?

The solution to (xy-x-y+1)/(x^2+9x-10) is (y-1)/(x+10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (xy-x-y+1)/(x^2+9x-10)

simplify

\frac{x y - x - y + 1}{x ^{2} + 9 x - 10}

\frac{y - 1}{x + 10}

Solution steps

\frac{x y - x - y + 1}{x ^{2} + 9 x - 10}

Factor

x y - x - y + 1 : (y - 1) (x - 1)

= \frac{( y - 1 ) ( x - 1 )}{x ^{2} + 9 x - 10}

Factor

x^{2} + 9 x - 10 : (x - 1) (x + 10)

= \frac{( y - 1 ) ( x - 1 )}{( x - 1 ) ( x + 10 )}

Cancel the common factor:

x - 1

= \frac{y - 1}{x + 10}

(x + 8)^{2} = 16

- 5 (- 3 x - 3) + 5 x + 4 = - 1

\frac{3 π}{4} + \frac{π}{2}

x^{3}

What is (xy-x-y+1)/(x^2+9x-10) ?
The solution to (xy-x-y+1)/(x^2+9x-10) is (y-1)/(x+10)