What is (v+1)/(v+7)-(v-6)/(v-7) ?

The solution to (v+1)/(v+7)-(v-6)/(v-7) is (-7v+35)/((v+7)(v-7))

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simplify (v+1)/(v+7)-(v-6)/(v-7)

simplify

\frac{v + 1}{v + 7} - \frac{v - 6}{v - 7}

\frac{- 7 v + 35}{( v + 7 ) ( v - 7 )}

Solution steps

\frac{v + 1}{v + 7} - \frac{v - 6}{v - 7}

Least Common Multiplier of

v + 7, v - 7 : (v + 7) (v - 7)

Adjust Fractions based on the LCM

= \frac{( v + 1 ) ( v - 7 )}{( v + 7 ) ( v - 7 )} - \frac{( v - 6 ) ( v + 7 )}{( v + 7 ) ( v - 7 )}

Apply the fraction rule:

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

= \frac{( v + 1 ) ( v - 7 ) - ( v - 6 ) ( v + 7 )}{( v + 7 ) ( v - 7 )}

Simplify

(v + 1) (v - 7) - (v - 6) (v + 7) : - 7 v + 35

= \frac{- 7 v + 35}{( v + 7 ) ( v - 7 )}

(3 y z^{2})^{2} (y^{3} z)^{3}

x^{5} \cdot x^{4}

\frac{125 - x ^{3}}{5 - x}

3.2 \cdot 1 0^{6}

\frac{11}{25}

What is (v+1)/(v+7)-(v-6)/(v-7) ?
The solution to (v+1)/(v+7)-(v-6)/(v-7) is (-7v+35)/((v+7)(v-7))