Rational Expresslons
Simplifying a ratio of polynomials by factoring a quadratic with leading...

Simplify.
\[
\frac{v-5}{v^{2}-10 v+25}
\]

Answer

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Answer

The simplified form of the given expression is \(\boxed{\frac{1}{v-5}}\).

Steps

Step 1 ：The given expression is a ratio of two polynomials. The denominator is a quadratic expression.

Step 2 ：We can simplify this expression by factoring the quadratic in the denominator. The quadratic is a perfect square trinomial, which can be factored into \((v-5)^2\).

Step 3 ：After factoring, we can cancel out the common terms in the numerator and the denominator.

Step 4 ：The simplified form of the given expression is \(\boxed{\frac{1}{v-5}}\).

Rational ExpresslonsSimplifying a ratio of polynomials by factoring a quadratic with leading... Simplify.\[\frac{v-5}{v^{2}-10 v+25}\]

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Rational Expresslons
Simplifying a ratio of polynomials by factoring a quadratic with leading...

Simplify.
\[
\frac{v-5}{v^{2}-10 v+25}
\]