What is (r^2-r)/(2r^2+5r-7) ?

The solution to (r^2-r)/(2r^2+5r-7) is r/(2r+7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (r^2-r)/(2r^2+5r-7)

simplify

\frac{r ^{2} - r}{2 r ^{2} + 5 r - 7}

\frac{r}{2 r + 7}

Solution steps

\frac{r ^{2} - r}{2 r ^{2} + 5 r - 7}

Factor

r^{2} - r : r (r - 1)

= \frac{r ( r - 1 )}{2 r ^{2} + 5 r - 7}

Factor

2 r^{2} + 5 r - 7 : (r - 1) (2 r + 7)

= \frac{r ( r - 1 )}{( r - 1 ) ( 2 r + 7 )}

Cancel the common factor:

r - 1

= \frac{r}{2 r + 7}

x^{3} - 3 x y (x - y) - y^{3} + 1

4 x^{2} - 10 2 x - 12

\frac{( cos ^{2} ( x ) ) ^{3}}{2}

x + y (2)

\frac{( a ^{2} )}{( a ^{2} + b ^{2} + b )}