What is (v-6)/(v^2-12v+36) ?

The solution to (v-6)/(v^2-12v+36) is 1/(v-6)

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simplify (v-6)/(v^2-12v+36)

simplify

\frac{v - 6}{v ^{2} - 12 v + 36}

\frac{1}{v - 6}

Solution steps

\frac{v - 6}{v ^{2} - 12 v + 36}

Factor

v^{2} - 12 v + 36 : (v - 6)^{2}

= \frac{v - 6}{( v - 6 ) ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(v - 6)^{2} = (v - 6) (v - 6)

= \frac{v - 6}{( v - 6 ) ( v - 6 )}

Cancel the common factor:

v - 6

= \frac{1}{v - 6}

\frac{2}{26}

6 x^{2} - 42 x + 60

\frac{- 2}{- 12}

+ 5 x y - 10 x

10 x + 10 x