What is (v^2-3v-40)/(v^2-11v+24) ?

The solution to (v^2-3v-40)/(v^2-11v+24) is (v+5)/(v-3)

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simplify (v^2-3v-40)/(v^2-11v+24)

simplify

\frac{v ^{2} - 3 v - 40}{v ^{2} - 11 v + 24}

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

Solution steps

\frac{v ^{2} - 3 v - 40}{v ^{2} - 11 v + 24}

Factor

v^{2} - 3 v - 40 : (v + 5) (v - 8)

= \frac{( v + 5 ) ( v - 8 )}{v ^{2} - 11 v + 24}

Factor

v^{2} - 11 v + 24 : (v - 3) (v - 8)

= \frac{( v + 5 ) ( v - 8 )}{( v - 3 ) ( v - 8 )}

Cancel the common factor:

v - 8

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

210 \div 1 \frac{1}{3}

\frac{4 x ^{3} + 16 x ^{2} + 23 x + 20}{2 x + 5}

1 + \frac{3}{4} + \frac{4}{7}

n^{l o g_{2} (4)}

64 \cdot \frac{2}{3}

What is (v^2-3v-40)/(v^2-11v+24) ?
The solution to (v^2-3v-40)/(v^2-11v+24) is (v+5)/(v-3)