What is (v-5)/(v^2-10v+25) ?

The solution to (v-5)/(v^2-10v+25) is 1/(v-5)

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simplify (v-5)/(v^2-10v+25)

simplify

\frac{v - 5}{v ^{2} - 10 v + 25}

\frac{1}{v - 5}

Solution steps

\frac{v - 5}{v ^{2} - 10 v + 25}

Factor

v^{2} - 10 v + 25 : (v - 5)^{2}

= \frac{v - 5}{( v - 5 ) ^{2}}

Apply exponent rule:

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

(v - 5)^{2} = (v - 5) (v - 5)

= \frac{v - 5}{( v - 5 ) ( v - 5 )}

Cancel the common factor:

v - 5

= \frac{1}{v - 5}

\frac{2 a x + 4 b x}{3 a y + 6 b y}

\frac{x}{x ^{2} - 1}

\frac{- 8 a ^{2} x ^{3}}{- 8 a ^{2} x ^{3}}

(x + 5)^{3}

\frac{x ^{2} + 7 x + 12}{x ^{2} + 5 x + 6}