What is (25-v^2)/(3v^2-13v-10) ?

The solution to (25-v^2)/(3v^2-13v-10) is -(5+v)/(3v+2)

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simplify (25-v^2)/(3v^2-13v-10)

simplify

\frac{25 - v ^{2}}{3 v ^{2} - 13 v - 10}

- \frac{5 + v}{3 v + 2}

Solution steps

\frac{25 - v ^{2}}{3 v ^{2} - 13 v - 10}

Factor

25 - v^{2} : (5 + v) (5 - v)

= \frac{( 5 + v ) ( 5 - v )}{3 v ^{2} - 13 v - 10}

Factor

3 v^{2} - 13 v - 10 : (3 v + 2) (v - 5)

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

(5 + v) (5 - v) = - (5 + v) (v - 5)

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

Cancel the common factor:

v - 5

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

Apply the fraction rule:

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

= - \frac{5 + v}{3 v + 2}

4 y^{2} x - 2 x^{2} (y + 3) + 5 y x^{2} - 3 x^{2}

(2 x - 5) (2 x + 3)

\frac{35}{20}

(- 2 + 3 i) + (7 - 6 i)

0.07

What is (25-v^2)/(3v^2-13v-10) ?
The solution to (25-v^2)/(3v^2-13v-10) is -(5+v)/(3v+2)