What is (v^2-7v-30)/(v^2-5v-24) ?

The solution to (v^2-7v-30)/(v^2-5v-24) is (v-10)/(v-8)

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simplify (v^2-7v-30)/(v^2-5v-24)

simplify

\frac{v ^{2} - 7 v - 30}{v ^{2} - 5 v - 24}

\frac{v - 10}{v - 8}

Solution steps

\frac{v ^{2} - 7 v - 30}{v ^{2} - 5 v - 24}

Factor

v^{2} - 7 v - 30 : (v + 3) (v - 10)

= \frac{( v + 3 ) ( v - 10 )}{v ^{2} - 5 v - 24}

Factor

v^{2} - 5 v - 24 : (v + 3) (v - 8)

= \frac{( v + 3 ) ( v - 10 )}{( v + 3 ) ( v - 8 )}

Cancel the common factor:

v + 3

= \frac{v - 10}{v - 8}

(5 a^{2} - 6 a - 4) - (- 7 a^{2} + 3 a - 9)

\frac{2 x}{3 x}

3 x^{- 5}

15 x^{4} - 23 x^{2} + 4

What is (v^2-7v-30)/(v^2-5v-24) ?
The solution to (v^2-7v-30)/(v^2-5v-24) is (v-10)/(v-8)