What is (10x+25)/(2x^2-x-15) ?

The solution to (10x+25)/(2x^2-x-15) is 5/(x-3)

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simplify (10x+25)/(2x^2-x-15)

simplify

\frac{10 x + 25}{2 x ^{2} - x - 15}

\frac{5}{x - 3}

Solution steps

\frac{10 x + 25}{2 x ^{2} - x - 15}

Factor

10 x + 25 : 5 (2 x + 5)

= \frac{5 ( 2 x + 5 )}{2 x ^{2} - x - 15}

Factor

2 x^{2} - x - 15 : (2 x + 5) (x - 3)

= \frac{5 ( 2 x + 5 )}{( 2 x + 5 ) ( x - 3 )}

Cancel the common factor:

2 x + 5

= \frac{5}{x - 3}

\frac{11}{4}

(9 h + 3) (- h - 1)

(m + 3) (m - 7)

\frac{x ^{2} + 11 x + 10}{x ^{2} - x - 2}

(2 x + 2 y) (2 x - 2 y)